Moldagem por injeção é um dos mais importantes processos industriais para produção de produtos plásticos finos. Esse processo é dividido essencialmente em quatro estágios: plastificação, preenchimento, empacotamento e resfriamento. O escoamento de um fluido caracterizado por alta viscosidade em uma cavidade estreita é um problema tipicamente encontrado em processos de moldagem por injeção.Neste caso, o escoamento pode ser descrito por uma formulação conhecida como aproximação de Hele-Shaw. Tal formulação pode ser derivada das equações de conservação tridimensionais usando um número de suposições a respeito do polímero injetado e da geometria da cavidade do molde, juntamente com a integração e o acoplamento das equações da conservação da quantidade de movimento e da continuidade. Essa formulação, referindo às limitações da geometria do molde como sendo canais estreitos e quase sem curvatura, é comumente denominada formulação 2 1/2D. Neste trabalho, é apresentada uma técnica para a simulação da fase de preenchimento de um processo de moldagem por injeção, usando essa formulação 2 1/2D, com um método de volumes finitos e malhas não estruturadas. O modelo de Cross modificado com dependência da temperatura de Arrhenius é empregado para descrever a viscosidade do polímero fundido. O campo de distribuição de temperatura é tridimensional e é resolvido usando um esquema semi-Lagrangeano baseado em volumes finitos. As malhas não estruturadas utilizadas são geradas por triangulação de Delaunay e o método numérico implementado usa a estrutura de dados topológica SHE - Singular Handle Edge, que é capaz de lidar com condições de contorno e singularidades, aspectos comumente encontrados em simulações numéricas de escoamento de fluidos. / Injection molding is one of the most important industrial processes for the manufacturing of thin plastic products. This process can be divided into four stages: plastic melting, filling, packing and cooling phases. The flow of a fluid characterized by high viscosity in a narrow gap is a problem typically found in injection molding processes. In this case, the flow can be described by a formulation known as Hele-Shaw approach. Such formulation can be btained from the three-dimensional conservation equation using a number of assumptions regarding the injected polymer and the geometry of the mold, together with the integration and the coupling of the momentum and continuity equations. This approach, referring to limitations of the mould geometry to narrow, weakly curved channels, is usually called 2 1/2D approach. In this work a technique for the simulation of the filling stage of the injection molding process, using this 2 1/2D approach, with a finite volume method and unstructured meshes, is presented. The modified-Cross model with Arrhenius temperature dependence is employed to describe the viscosity of the melt. The temperature field is 3D and it is solved using a semi-Lagrangian scheme based on the finite volume method. The employed unstructured meshes are generated by Delaunay triangulation and the implemented numerical method uses the topological data structure SHE - Singular Handle Edge, capable to deal with boundary conditions and singularities, aspects commonly found in numerical simulation of fluid flow.

Esta tese apresenta resultados da caracterização estrutural de três sistemas de classes diferentes por meio, principalmente, da modelagem de dados de espalhamento de raios X a baixos ângulos (SAXS). No sistema surfactante-surfactante as micelas mistas são formadas por dodecil sulfato de sódio (SDS) e um dos surfactantes da série Tween (Tween 20, 40, 60 e 80). A modelagem adotada impôs vínculos moleculares uma vez que os dados de SAXS estavam em escala absoluta. Isso reduziu a ambiguidade nos valores dos parâmetros ajustáveis e permitiu verificar que os dados de SAXS são satisfatoriamente descritos considerando-se que as micelas são elipsoides de revolução core-shell, podendo ser prolatas ou oblatas dependendo do tipo de Tween empregado. Para o sistema proteína-surfactante, a metodologia experimental utilizada permitiu um estudo estrutural e termodinâmico dos complexos formados por meio do acompanhamento do processo de ligação de SDS às proteínas lisozima e alfa-lactalbumina. A técnica de calorimetria de titulação isotérmica (ITC) forneceu um panorama geral sobre a desnaturação proteica e norteou os experimentos seguintes de SAXS e dicroísmo circular (CD). Por meio da análise dos dados de CD concluiu-se que as proteínas perdem quase totalmente sua estrutura terciária, mas não a secundária (esse estado é conhecido como molten globule). Já a modelagem de SAXS em escala absoluta com imposição de vínculos permitiu concluir que os complexos proteína-surfactante podem ser entendidos micelas decoradas, isto é, a proteína está distribuída sobre a superfície de uma micela de SDS. Esse modelo, aliado à abordagem experimental empregada, permitiu a caracterização sistemática dos complexos durante a desnaturação proteica. Em relação ao sistema lipossomas-(bio)ativos, a análise dos dados de SAXS por meio do Método da Deconvolução Gaussiana usando bicamadas simétricas, para os sistemas Phospholipon 90H curcumina/vitamina D3 e dipalmitoilfosfatidilcolina de soja (DPPC) ácido láurico (LA), e assimétricas, para o caso fosfatidilcolina de ovo (EPC) sumatriptano (SMT), permitiu acompanhar mudanças na estrutura das mesmas ocasionadas pela presença dos (bio)ativos. Verificou-se em todos os casos que a espessura da bicamada se mantém praticamente constante. A flexibilidade membranar aumenta, seja em função da temperatura, para o sistema Phospholipon 90H curcumina/ vitamina D3, seja em função da concentração de (bio)ativos, como nos outros dois casos. Para estes, concluiu-se pela análise dos perfis de contraste de densidade eletrônica que os (bio)ativos interagem preferencialmente com as cabeças polares dos fosfolipídeos que constituem os lipossomas, possivelmente causando defeitos topológicos nessa região e ocasionando o aumento da flexibilidade membranar mencionada antes. LA, diferentemente de SMT, induz uma transição de lipossomas multilamelares para unilamelares, e esse fenômeno é grandemente influenciado pelo pH do meio. / This thesis presents a structural characterization of three systems of different classes through, mainly, the small angle X-ray scattering (SAXS) technique. In the surfactant-surfactant system the mixed micelles are composed by sodium dodecyl sulfate (SDS) and one of the Tween surfactants (Tween 20, 40, 60 and 80). The adopted modeling imposed molecular constraints since the SAXS data was in absolute scale. This procedure reduced the ambiguity in the values of the adjustable parameters and allowed to verify that SAXS data is satisfactorily described considering that the micelles are core-shell revolution ellipsoids which can be prolate or oblate depending on the type of Tween used in the micelle. For the protein-surfactant system, the applied experimental methodology allowed a structural and thermodynamic study of the complexes formed through monitoring the binding of SDS to the proteins lysozyme and alpha-lactalbumin. Isothermal titration calorimetry (ITC) technique provided an overview of proteic denaturation and guided the following experiments of SAXS and circular dichroism (CD). From CD data analysis it was concluded that the proteins lose almost totally their tertiary structure, but not the secondary one (this state is known as \"molten globule\"). On the other hand, SAXS data modeling in absolute scale with molecular constraints leaded to the conclusion that protein-surfactant complexes can be considered decorated micelles in which the protein is distributed over a SDS micelle surface. This model, combined to the adopted experimental procedure, allowed the systematic characterization of the complexes along the protein denaturation. In the liposome-(bio)actives system, the SAXS data analysis using the Gaussian Deconvolution Method assuming symmetric bilayers, for the systems Phospholipon 90H curcumin /vitamin D3 and soybean dipalmitoyl phosphatidylcholine (DPPC) lauric acid (LA), and asymmetric bilayers, in the case of egg phosphatidylcholine (EPC) sumatriptan (SMT) system, allowed to follow changes in the lipid bilayer structure induced by the presence of the (bio)actives. It has been found, in all cases, that the bilayer thickness remains approximately. Membrane flexibility increases, depending on the temperature, for the Phospholipon 90H curcumin /vitamin D3 system, or as a function of the (bio)actives concentrations, as in the other two cases. For those, it was concluded, by the analysis of electron density contrast profiles, that the (bio)actives preferentially interact with the polar heads of the phospholipids forming the liposomes, possibly causing topological defects in that region and leading the membrane flexibility increase. LA, unlike SMT, induces a transition from multilamellar to unilamellar liposomes, and this phenomenon is greatly influenced by the pH of the medium.

Ultra cold quantum gas is a convenient system to study fundamental questions of modern physics, such as phase transitions and critical phenomena. This master thesis is devoted to experimental investigation of the thermodynamics susceptibilities, such as the isothermal compressibility and the thermal expansion coefficient of a trapped Bose-Einstein condensate (BEC) of 87Rb atoms. The critical phenomena and the critical exponents across the transition can explain the behavior of the isothermal compressibility and the thermal expansion coefficient near the critical temperature TC. By employing the developed formalism of global thermodynamics variables, we carry out a statistical treatment of Bose gas in a 3D harmonic potential. After that, comparison of obtained results reveals the most appropriate state variables describing the system, namely volume and pressure parameter V and Π respectively. The both are related with the confining frequencies and BEC density distribution. We apply this approach to define the set of new thermodynamic variables of BEC, and also to construct the isobaric phase diagram V T. Its allows us to extract the compressibility κT and the thermal expansion coefficient βΠ. The behavior of the isothermal compressibility corresponds to the second-order phase transition, while the thermal expansion coefficient around the critical point behaves as β ∼ tr-α, where tr is reduced temperature of the system and α is the critical exponent on the basic of these. Results we have obtained the critical exponent α = 0.15±0.09, which allows us to determine the system dimensionality by means of the scaling theory, relating the critical exponents with the dimensionality. As a result, we found out that the dimensionality of the system to be d ∼ 3, one is in agreement with the real dimension of the system. / Amostras atômicas ultrafrias de um gás de Bose são convenientes para estudar questões fundamentais da física moderna, como as transições de fase e fenômenos críticos em condensados de Bose-Einstein (BEC). A minha dissertação dedica se à investigação das susceptibilidades termodinâmicas como a compressibilidade isotérmica e o coeficiente de expansão térmica de a traves da transição de um BEC de 87Rb. Os fenômenos críticos e os exponentes críticos a traves da transição podem explicar o comportamento da compressibilidade isotérmica e do coeficiente de expansão térmica perto da temperatura crítica TC. Ao empregar o desenvolvido formalismo das variáveis termodinâmicas globais, levamos a cabo o tratamento estatístico de um gás de Bose num potencial harmônico 3D. Depois da comparação dos resultados obtidos, revelam as mais apropriadas variáveis de estado descrevendo o sistema, chamadas parâmetro de volume e pressão, V e Π respectivamente. As duas estão relacionadas com as frequências de confinamento e a distribuição de densidade do BEC. Nós aplicamos esta abordagem para definir um conjunto de novas variáveis termodinâmicas do BEC, e também para construir o diagrama de fase isobárico V T. O anterior nós permite extrair a compressibilidade κT e o coeficiente de expansão termina βΠ. O comportamento da compressibilidade isotérmica corresponde a uma transição de fase de segunda ordem enquanto que o coeficiente de expansão térmica ao redor do ponto crítico comporta se como β ∼ tr-α, onde tr é a temperatura reduzida do sistema, e α o exponente crítico. Deste resultado nós obtemos um exponente critico, α = 0.15 ± 0.09, que permite determinar a dimensionalidade do sistema a traves da teoria de escala, relacionando os exponentes críticos com a dimensionalidade. Como resultado, encontramos que a dimensionalidade do sistema é d ∼ 3 que está de acordo como a dimensão real do sistema.

A Brucella canis é a bactéria responsável pela brucelose nos cães, pode ser transmitida para os seres humanos, ocasionalmente resultando em doença grave, com impacto na saúde pública. A brucelose canina desencadeia inúmeras perdas econômicas em canis comerciais, com a ocorrência de abortamentos, morte embrionária, natimortos e nascimento de filhotes debilitados. O diagnóstico sorológico é rotineiramente realizado, contudo a hemocultura é o teste \"padrão-ouro\". A técnica de reação em cadeia pela polimerase (PCR) pode ser aplicada no diagnóstico direto como alternativa à hemocultura, pela rapidez, alta especificidade e sensibilidade do teste, mas apresenta alto custo com infraestrutura e equipamentos. A amplificação isotérmica mediada por loop (LAMP) constitui outra alternativa para amplificação do DNA em um curto período de tempo, com simplicidade e menor custo. O projeto avaliou comparativamente o desempenho dos testes moleculares de PCR e LAMP com primers direcionados à sequência de inserção IS711 de Brucella spp. em 98 amostras de sangue total, obtidas de 57 cães. Os 57 cães foram divididos em três grupos: infectados por B. canis (cães positivos na hemocultura) não infectados por B. canis (negativos na hemocultura e sem evidências clínicas e epidemiológicas de brucelose) e suspeitos de brucelose (cães negativos na hemocultura, mas com suspeita clínica e/ou epidemiológica da infecção). A sensibilidade e especificidade diagnóstica das reações de LAMP e PCR foram calculadas, utilizando-se os grupos de cães infectados e não infectados, respectivamente. O desempenho dos testes foi analisado, utilizando-se as 98 amostras, comparadas duas a duas, pelos testes estatísticos de Coeficiente Kappa e McNemar. A proporção de amostras positivas foi de 43,87% (43/98) na hemocultura, 46,93% (46/98) na PCR e 16,33% (16/98) na LAMP. A concordância entre a hemocultura e a PCR foi ótima, enquanto que a concordância entre a LAMP e a hemocultura e entre a LAMP e a PCR foi sofrível. A sensibilidade diagnóstica foi de 100% (18/18) na PCR e 44,44% (8/18) na LAMP, enquanto que a especificidade diagnóstica foi de 96% (20/21) na PCR e 100% (21/21) na LAMP. O desempenho da reação de LAMP foi insatisfatório para o diagnóstico da brucelose nos cães, em razão dos baixos valores de sensibilidade do teste. A PCR, por outro lado, apresentou desempenho similar à hemocultura, o que a torna uma alternativa para uso no diagnóstico da brucelose canina. / Brucella canis is the etiological agent responsible for brucellosis in dogs and can be transmitted to human beings, occasionally resulting in severe disease, and leading to impacts on public health. Canine brucellosis triggers numerous economic losses in commercial kennels, causing abortions, embryonic death, stillbirths and birth of debilitated puppies. Serological diagnosis is routinely performed, but blood culture is the gold standard test. Polymerase chain reaction (PCR) can be used to the direct diagnosis of infection in view of its speed and high specificity and sensitivity values, however it has high cost because of the laboratory infrastructure and equipments needed. The loop-mediated isothermal amplification (LAMP) may be an alternative to DNA amplification in a shorter period of time, with simplicity and low cost. This project evaluated the potential of the molecular tests of PCR and LAMP using primers targeting the insertion sequence IS711 of Brucella, using 98 whole blood samples of 57 dogs. The 57 dogs were divided into three groups: infected by B. canis (dogs with positive results in blood culture), non-infected by B. canis (dogs with negative results by blood culture and showing no clinical or epidemiological evidences of brucellosis) and dogs suspected of brucellosis (those with negative blood culture but with clinical and/or epidemiological evidences of infection). The diagnostic sensitivity and specificity of PCR and LAMP were calculated using the infected and non-infected groups, respectively. The performance of the three diagnostic tests was pair compared using the 98 samples using McNemar test and Kappa coefficient. The proportion of positive samples detected by blood culture, PCR and LAMP was respectively 43.87% (43/98), 46.93% (46/98), and 16.33% (16/98). The concordance between blood culture and PCR was almost perfect, while the concordance between LAMP and blood culture and between LAMP and PCR was fair. The diagnostic sensitivity of PCR and LAMP was, respectively, 100% (18/18) and 44.44% (8/18), while the diagnostic specificity of the tests was 96% (20/21) and 100% (21/21), respectively. LAMP performance was not satisfactory for canine brucellosis diagnosis because of the low sensitivity of the test. PCR showed similar performance when compared to blood culture, which makes it a good alternative for use for the diagnosis of canine brucellosis.

The aim of this study was to investigate the molecular interactions of the anti-cancer drug Doxorubicin (DOX) with poly(methacrylic acid) grafted starch nanoparticles (PMAA-g-St). In order to fully understand the DOX/PMAA-g-St system, we conducted in-depth studies on DOX dimer dissociation and DOX/PMAA-g-St binding interactions using various techniques such as isothermal titration calorimetry (ITC), dynamic light scattering (DLS), and fluorescence and absorption spectroscopy. Based on our experimental results, we developed a quantitative thermodynamic model with relevant parameters such as dissociation constant, Kd, as well as enthalpy of binding, ΔH, in order to explain DOX/PMAA-g-St interactions. In addition, we also studied the effect of environmental factors such as pH and NaCl on DOX self-association and DOX/PMAA-g-St complex formation. In conclusion, the combination of results obtained from various techniques as well as the multispecies equilibrium model, enables us to interpret quantitatively the data of drug loading onto and release from polymeric nanoparticles.

The persistence and propagation of bacterial antibiotic resistance presents significant challenges to the treatment of drug resistant bacteria with current antimicrobial chemotherapies, while a dearth in replacements for these drugs persists. The thiopeptide family of antibiotics may represent a potential source for new drugs and thiostrepton, the prototypical member of this antibiotic class, is the primary subject under study in this thesis. Using a facile semi-synthetic approach novel, regioselectively-modified thiostrepton derivatives with improved aqueous solubility were prepared. In vivo assessments found these derivatives to retain significant antibacterial ability which was determined by cell free assays to be due to the inhibition of protein synthesis. Moreover, structure-function studies for these derivatives highlighted structural elements of the thiostrepton molecule that are important for antibacterial activity. Organisms that produce thiostrepton become insensitive to the antibiotic by producing a resistance enzyme that transfers a methyl group from the co-factor S-adenosyl-L-methionine (AdoMet) to an adenosine residue at the thiostrepton binding site on 23S rRNA, thus preventing binding of the antibiotic. Extensive site-directed mutagenesis was performed on this enzyme to generate point mutations at key active site residues. Ensuing biochemical assays and co-factor binding studies on these variants identified amino acid residues in the active site that are essential to the formation of the AdoMet binding pocket and provided direct evidence for the involvement of an active site arginine in the catalytic mechanism of the enzyme. Certain bacteria that produce neither thiostrepton nor the resistance methyltransferase express the thiostrepton binding proteins TIP-AL and TIP-AS, that irreversibly bind to the antibiotic, thereby conferring resistance by sequestration. Here, it was found that the point mutation of the previously identified reactive amino acid in TIP-AS did not affect covalent binding to the antibiotic, which was immediately suggestive of a specific, high affinity non-covalent interaction. This was confirmed in binding studies using chemically synthesized thiostrepton derivatives. These studies further revealed structural features from thiostrepton important in this non-covalent interaction. Together, these results indicate that thiostrepton binding by TIP-AS begins with a specific non-covalent interaction, which is necessary to properly orient the thiostrepton molecule for covalent binding to the protein. Finally, the synthesis of a novel AdoMet analogue is reported. The methyl group of AdoMet was successfully replaced with a trifluoromethyl ketone moiety, however, the hydrated form (germinal diol) of this compound was found to predominate in solution. Nevertheless, the transfer of this trifluoroketone/ trifluoropropane diol group was demonstrated with the thiopurine methyltransferase.

The problem of inaccurate measurement techniques for quantifying isothermal solidification kinetics during transient liquid phase (TLP) bonding in binary and ternary systems; and resulting uncertainty in the accuracy of analytical and numerical models has been addressed by the development of a new technique using differential scanning calorimetry (DSC). This has enabled characterization of the process kinetics in binary and ternary solid/liquid diffusion couples resulting in advancement of the fundamental theoretical understanding of the mechanics of isothermal solidification. The progress of isothermal solidification was determined by measuring the fraction of liquid remaining after an isothermal hold period of varying length. A 'TLP half sample', or a solid/liquid diffusion couple was setup in the sample crucible of a DSC enabling measurement of the heat flow relative to a reference crucible containing a mass of base metal. A comparison of the endotherm from melting of an interlayer with the exotherm from solidification of the residual liquid gives the fraction of liquid remaining. The Ag-Cu and Ag-Au-Cu systems were employed in this study. Metallurgical techniques were used to compliment the DSC results. The effects of sample geometry on the DSC trace have been characterized. The initial interlayer composition, the heating rate, the reference crucible contents, and the base metal coating must be considered in development of the experimental parameters. Furthermore, the effects of heat conduction into the base metal, baseline shift across the initial melting endotherm, and the exclusion of primary solidification upon cooling combine to systematically reduce the measured fraction of liquid remaining. These effects have been quantified using a modified temperature program, and corrected using a universal factor. A comparison of the experimental results with the predictions of various analytical solutions for isothermal solidification reveals that the moving interface solution can accurately predict the interface kinetics given accurate diffusion data. The DSC method has been used to quantify the process kinetics of isothermal solidification in a ternary alloy system, with results compared to a finite difference model for interface motion. The DSC results show a linear relationship between the interface position and the square root of the isothermal hold time. While the numerical simulations do not agree well with the experimental interface kinetics due to a lack of accurate thermodynamic data, the model does help develop an understanding of the isothermal solidification mechanics. Compositional shift at the solid/liquid interface has been measured experimentally and compared with predictions. The results show that the direction of tie-line shift can be predicted using numerical techniques. Furthermore, tie-line shift has been observed in the DSC results. This study has shown that DSC is an accurate and valuable tool in the development of parameters for processes employing isothermal solidification, such as TLP bonding.

The problem of inaccurate measurement techniques for quantifying isothermal solidification kinetics during transient liquid phase (TLP) bonding in binary and ternary systems; and resulting uncertainty in the accuracy of analytical and numerical models has been addressed by the development of a new technique using differential scanning calorimetry (DSC). This has enabled characterization of the process kinetics in binary and ternary solid/liquid diffusion couples resulting in advancement of the fundamental theoretical understanding of the mechanics of isothermal solidification. The progress of isothermal solidification was determined by measuring the fraction of liquid remaining after an isothermal hold period of varying length. A 'TLP half sample', or a solid/liquid diffusion couple was setup in the sample crucible of a DSC enabling measurement of the heat flow relative to a reference crucible containing a mass of base metal. A comparison of the endotherm from melting of an interlayer with the exotherm from solidification of the residual liquid gives the fraction of liquid remaining. The Ag-Cu and Ag-Au-Cu systems were employed in this study. Metallurgical techniques were used to compliment the DSC results. The effects of sample geometry on the DSC trace have been characterized. The initial interlayer composition, the heating rate, the reference crucible contents, and the base metal coating must be considered in development of the experimental parameters. Furthermore, the effects of heat conduction into the base metal, baseline shift across the initial melting endotherm, and the exclusion of primary solidification upon cooling combine to systematically reduce the measured fraction of liquid remaining. These effects have been quantified using a modified temperature program, and corrected using a universal factor. A comparison of the experimental results with the predictions of various analytical solutions for isothermal solidification reveals that the moving interface solution can accurately predict the interface kinetics given accurate diffusion data. The DSC method has been used to quantify the process kinetics of isothermal solidification in a ternary alloy system, with results compared to a finite difference model for interface motion. The DSC results show a linear relationship between the interface position and the square root of the isothermal hold time. While the numerical simulations do not agree well with the experimental interface kinetics due to a lack of accurate thermodynamic data, the model does help develop an understanding of the isothermal solidification mechanics. Compositional shift at the solid/liquid interface has been measured experimentally and compared with predictions. The results show that the direction of tie-line shift can be predicted using numerical techniques. Furthermore, tie-line shift has been observed in the DSC results. This study has shown that DSC is an accurate and valuable tool in the development of parameters for processes employing isothermal solidification, such as TLP bonding.

No description available.

The studied material is an A356 Al alloy, used to produce engine cylinder heads for the automotive industry by die casting process. The material displays a quite coarse dendritic microstructure in a eutectic matrix, with a mean grains size of 25 microns, intemetallic precipitates and porosities. The tensile properties are strongly affected by testing temperature, with a quite sensitive drop of the Young's modulus, the Yield stress as the temperature was raised. The isothermal fatigue life dropped of markedly (approximately 10 times) when the testing temperature is raised from 120 to 280 °C, under strain control. From the themomechanical in-phase cyclic tests, with temperature varying from (120 to 280 oC), it was possible to observe that life is quite similar to the isothermal fatigue test at 280 oC. In this case, the more sensitive damage caused the in-phase mechanical and thermal cycle take place at the highest temperature. Relaxation tests indicated two distinct behaviors, with the temperature of 240°C being a threshold. At lower temperatures, the material hardens cyclically whereas it softens cyclically at higher temperatures. From the fatigue crack growth results, it was observed that temperature and wave shape has a strong influence on the crack growth rate as well as on the stress intensity threshold. Considering sinusoidal wave shape (10 Hz), as the temperature increased the DKth decreased and the crack propagation rate increased. However, the rate as da/dN change with temperature is quite similar, as an indicative that the micromechanism of crack growth has not changed due to the high frequency used, and it was due only to loss of mechanical strength. An elastic-visco-plastic non-isothermal constitutive law was identified for the material. For the cast material studied in this work, the mechanical behavior parameters are statistically distributed. However, it was shown that the model was able to reproduce, with a reasonable approximation, the stress - strain relationship at different temperatures, for the isothermal and anisothermal cases.