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Due to high specific strength and stiffness as well as outstanding energy-absorption characteristics, sandwich structures are extensively used in aircraft, aerospace, automobile, and marine industries. With the objective of finding lightweight blast-resistant sandwich structures for protecting infrastructure, we have found, for a fixed areal mass density, one- or two-core doubly-curved sandwich shell's (plate's) geometries and materials and fiber angles of unidirectional fiber-reinforced face sheets for it to have the maximum first failure load under quasistatic (blast) loads. The analyses employ a third-order shear and normal deformable plate/shell theory (TSNDT), the finite element method (FEM), a stress recovery scheme (SRS), the Tsai-Wu failure criterion and the Nest-Site selection (NeSS) optimization algorithm, and assume the materials to be linearly elastic. For a sandwich shell under the spatially varying static pressure on the top surface, the optimal non-symmetric one-core (two-core) design improves the first failure load by approximately 33% (27%) and 50% (36%) from the corresponding optimal symmetric design with clamped and simply-supported edges, respectively. For a sandwich plate under blast loads, it is found that the optimal one-core design is symmetric about the mid-surface with thick face sheets, and the optimal two-core design has a thin middle face sheet and thick top and bottom face sheets. Furthermore, the transverse shear stresses (in-plane transverse axial stresses) primarily cause the first failure in a core (face sheet). For the computed optimal design under a blast load, we also determined the collapse load by using the progressive failure analysis that degrades all elasticities of the failed material point to very small values. The collapse load of the clamped (simply-supported) sandwich structure is approximately 15%–30% (0%–17%) higher than its first failure load. Incompressible materials such as rubbers, polymers, and soft tissues that can only undergo volume preserving deformations have numerous applications in engineering and biomedical fields. Their vibration characteristics are important for using them as wave reflectors at interfaces with a fiber-reinforced sheet. In this work we have numerically analyzed free vibrations of plates made of a linearly elastic incompressible rubber-like material (Poison's ratio = 0.5) by using a TSNDT for incompressible materials and the mixed FEM. The displacements at nodes of a 9-noded quadrilateral element and the hydrostatic pressure at four interior nodes are taken as unknowns. Computed results are found to match well with the corresponding either analytical or numerical ones obtained with the commercial FE software Abaqus and the 3-dimensional linear elasticity theory. The analysis discerns plate's in-plane vibration modes. It is found that a simply supported plate admits more in-plane modes than the corresponding clamped and clamped-free plates. / Doctor of Philosophy / A simple example of a sandwich structure is a chocolate ice cream bar with the chocolate layer replaced by a stiff plate. Another example is the packaging material used to protect electronics during shipping and handling. The intent is to find the composition and the thickness of the "chocolate layer" so that the ice cream bar will not shatter when dropped on the floor. The objective is met by enforcing the chocolate layer with carbon fibers and then finding fiber materials, their alignment, ice cream or core material, and its thickness to resist anticipated loads with a prescribed level of certainty. Thus, a sandwich structure is usually composed of a soft thick core (e.g., foam) bonded to two relatively stiff thin skins (e.g., made of steel, fiber-reinforced composite) called face sheets. They are lightweight, stiff, and effective in absorbing mechanical energy. Consequently, they are often used in aircraft, aerospace, automobile, and marine industries. The load that causes a point in a structure to fail is called its first failure load, and the load that causes it to either crush or crumble is called the ultimate load. Here, for a fixed areal mass density (mass per unit surface area), we maximize the first failure load of a sandwich shell (plate) under static (dynamic) loads by determining its geometric dimensions, materials and fiber angles in the face sheets, and the number (one or two) of cores. It is found that, for a non-uniformly distributed static pressure applied on the central region of a sandwich shell's top surface, an optimal design that has different materials for the top and the bottom face sheets improves the first failure load by nearly 30%-50% from that of the optimally designed structure with identical face sheets. For the structure optimally designed for the first failure blast load, the ultimate failure load with all of its edges clamped (simply supported) is about 15%-30% (0%-17%) higher than its first failure load. This work should help engineers reduce weight of sandwich structures without sacrificing their integrity and save on materials and cost. Rubberlike materials, polymers, and soft tissues are incompressible since their volume remains constant when they are deformed. Plates made of incompressible materials have a wide range of applications in everyday life, e.g., we hear because of vibrations of the ear drum. Thus, accurately predicting their dynamic behavior is important. A first step usually is determining natural frequencies, i.e., the number of cycles of oscillations per second (e.g., a human heart beats at about 1 cycle/sec) completed by the structure in the absence of any externally applied force. Here, we numerically find natural frequencies and mode shapes of rubber-like material rectangular plates with different supporting conditions at the edges. We employ a plate theory that reduces a 3-dimensional (3-D) problem to a 2-D one and the finite element method. The problem is challenging because the incompressibility constraint requires finding the hydrostatic pressure as a part of the problem solution. We show that the methodology developed here provides results that match well with the corresponding either analytical or numerical solutions of the 3-D linear elasticity equations. The methodology is applicable to analyzing the dynamic response of composite structures with layers of incompressible materials embedded in it.

In this study, a novel inserted type of friction welding tool was proposed, where the circular rod was embedded in its central axis using the material same as the workpiece, so that it could effectively promote the friction heat quickly and enhance the welding quality. The welding tool was made of the high-speed steel, the workpiece with its embedded material 6061-T6 aluminum alloy. A vertical milling machine equipped with dynamometer, which could measure the power during the friction stir welding, was employed as the experimental apparatus. During the welding process, the K-type thermocouple was used simultaneously in measuring the welding temperature at the interface of joint. The operating conditions of welding were as followings: the welding speed of 800 rpm, the tool inclination of 1¢X and the clamping force 2kN, the tool with 12mm in diameter and 0.21mm in depth under the downward force about 2 kN. The experiment was conducted into two stages. The first stage was a spot welding to investigate the effect of the ratio of the diameter of embedded material (d) to the diameter of welding tool (D) on the temperature of the interface of joint, the thickness of plastic flow, and the failure load of weld. Experimental results revealed that the interface temperature, the plastic flow thickness, and the failure load of weld are directly proportional to d/D. In comparison with the welding tool without insert (d/D = 0), the maximum interface temperature increased about 1.12 times at d/D = 0.83, the plastic flow thickness increased about 1.52 times, and the failure load of weld increased about 1.45 times. In the second stage, the feeding process was included to investigate the influence of the diameter and the thickness of embedded material on the interface temperature, the plastic flow thickness, and the failure load of weld. Experimental results revealed that the plastic flow thickness was less than 2 mm when the thickness of embedded material was less than 3 mm. However, when the thickness of embedded material was larger than 5 mm, the plastic flow thickness could achieve to 3 mm. Hence, the thickness of embedded material should be larger than 5mm. Moreover, the effect of the diameter of embedded material on the interface temperature and the plastic flow thickness using the feeding process was almost the same as the spot welding. However, in comparison with the welding tool without insert, the failure load of weld increased about two times.

yes / The main purpose of this paper is to assess moment redistribution in continuous concrete beams reinforced with fibre reinforced polymer (FRP) bars. A numerical technique based on equilibrium of forces and full compatibility of strains has been developed to evaluate the moment–curvature relationships and moment capacities of FRP and steel reinforced concrete sections. Moment redistribution has then been assessed by comparing elastic and experimental moments at failure, and moment capacity at critical sections of continuous FRP reinforced concrete beams reported on the literature. The curvature of under reinforced FRP sections was large at FRP rupture but failure was sudden, that would not allow any moment redistribution. On the other hand, FRP over reinforced sections experienced higher curvature at failure than steel over reinforced sections owing to the lower FRP modulus of elasticity. Although the experimental and elastic bending moment distributions at failure are significantly different for many beams tested elsewhere, in particular CFRP reinforced concrete beams, the experimental bending moment over the middle support at failure was far lower than the corresponding moment capacity owing to the de-bonding of FRP bars from concrete in the middle support region. Furthermore, the hogging moment redistribution over the middle support is always larger than that at mid-span by around 66%. It was also shown that the load capacity prediction of continuous FRP reinforced concrete beams using the de-bonding moment at the middle support section was the closest to the experimental failure load.

Fracture of the distal radius is one of the most frequent injuries, and it represents about 20% of all adults taken into emergency rooms. A number of studies suggest various methods to reduce the dislocation and to secure fragments of the distal radius. In this study, the Non-Bridging External Wrist Fixator System (NBX), a pre-market-released product manufactured by NUTEK Inc. was biomechanically assessed by comparing with the Universal Distal Radius System (Volar Plate Fixator: VPF), a market-released product manufactured by Stryker Co. The comparison was performed in several parameters, which were wrist motion, radial tilt angle, radial length, volar tilt angle, stiffness, and failure load. Five pairs of fresh human cadaver arms were used for this study. The wrists were tested to obtain x-ray images for 1 normal and 2 injury conditions (intact, fractured, and fixed), 2 load conditions (gravity only and torque applied), and 4 postural conditions (volar flexion, dorsiflexion, ulnar deviation, and radial deviation). These tests yielded 24 (3×2×4) x-ray images for each wrist, and the images were analyzed to obtain the data for each parameter. Although the results were not statistically significant in some conditions, NBX fixation limited wrist motion more than VPF fixation. This result can be explained not only by the difference in the ability of fixation, but also by the difference in the surgical trauma (NBX is less invasive than VPF). Furthermore, in the measurement of radial tilt angle, radial length, and volar tilt angle, NBX was more effective than VPF to reduce and secure the bone fragments of the distal radius. In destructive test, the NBX is less strong than VPF. However, NBX is strong enough to sustain the expected forces of daily activity.

A pesquisa parte do fato de que os métodos semiempíricos de estimativa da capacidade de carga de estacas não devem ser empregados indiscriminadamente em qualquer região do país sem as devidas adequações às características do solo local. Constata-se, com isso, que não existem metodologias específicas para proceder tais adequações e que o meio técnico acaba por realizar a mera classificação dos métodos em conservador ou contra a segurança, o que se constitui num certo paradigma. Assim, o presente trabalho propõe uma Metodologia Semiempírica Unificada (MSU), em três etapas. Na primeira delas, o projetista estima a capacidade de carga a partir da otimização das melhores práticas adotadas pelos diversos métodos semiempíricos utilizados no Brasil. Discutem-se ainda o embutimento da ponta e a criação de novos métodos semiempíricos. Na segunda etapa, realiza-se a verificação de desempenho com base nos critérios de ruptura aplicados à curva carga-recalque de provas de carga. Nessa etapa, as imprecisões do dito paradigma são apontadas e faz-se uma nova proposta de aplicação dos critérios de ruptura. Na terceira etapa, faz-se uma retroanálise para aferição da estimativa semiempírica unificada da primeira etapa. Propõe-se, assim, o uso da separação das parcelas de atrito e ponta por meio de métodos de transferência de carga, bem como pela proposta de ajustes polinomiais, no caso de ensaios instrumentados. A análise crítica desse processo gerou a proposta de uma nova abordagem matemática da transferência de carga. A correção dos valores adotados para os coeficientes semiempíricos de cada camada, individualmente, é feita pela proposta de aplicação do conceito de Hierarquia dos Solos (AMANN, 2000). Os resultados de correção dos métodos semiempíricos, contudo, são específicos para o solo de cada local em estudo. Assim, são utilizados, como exemplo, ensaios em diversas regiões do país, o que permite a verificação da aplicabilidade da metodologia proposta. / The research starts from the fact that the semiempirical methods for estimating the pile load capacity shouldn\'t be used indiscriminately in any country\'s region without making proper adjustments to the local soil characteristics. It is verified, from this, that there are no specific methodologies to make such adjustments and the geotechnical engineers find themselves forced to perform a simple classification of the methods in \"conservative\" or \"against the safety\", which constitutes a form of paradigm. In this context, this paper proposes a Unified Semiempirical Methodology (MSU) in three steps. In the first, the designer estimates the foundation load capacity from the optimization of best practices adopted by different semiempirical methods used in Brazil. A discussion is also made the toe embedment and the creation of new semiempirical methods. In the second step, the verification of the foundation performance is carried out, based on the failure criteria applied to the load-settlement curve of load tests. At this step, the inaccuracies from that paradigm are outlined and a new proposal is made for applying the failure criteria. In the third step, a backanalysis is accomplished to admeasure the unified semiempirical estimative from the first step. It is, thus, proposed to separate both shaft friction and toe resistance from the total load, by means of load transfer methods, and by the proposal of polynomial adjustments in the case of instrumented piles. With the critical analysis of this process, a new mathematical approach to load transfer is presented. The correction of the coefficients of the semiempirical methods is made by the application of the Soils\'s Hierarchy concept (AMANN, 2000). The results of semiempirical methods correction, however, are specific to the soils of each particular site. The applicability, of the proposed methodology, is illustrated using pile load tests from various parts of the country.

A pesquisa parte do fato de que os métodos semiempíricos de estimativa da capacidade de carga de estacas não devem ser empregados indiscriminadamente em qualquer região do país sem as devidas adequações às características do solo local. Constata-se, com isso, que não existem metodologias específicas para proceder tais adequações e que o meio técnico acaba por realizar a mera classificação dos métodos em conservador ou contra a segurança, o que se constitui num certo paradigma. Assim, o presente trabalho propõe uma Metodologia Semiempírica Unificada (MSU), em três etapas. Na primeira delas, o projetista estima a capacidade de carga a partir da otimização das melhores práticas adotadas pelos diversos métodos semiempíricos utilizados no Brasil. Discutem-se ainda o embutimento da ponta e a criação de novos métodos semiempíricos. Na segunda etapa, realiza-se a verificação de desempenho com base nos critérios de ruptura aplicados à curva carga-recalque de provas de carga. Nessa etapa, as imprecisões do dito paradigma são apontadas e faz-se uma nova proposta de aplicação dos critérios de ruptura. Na terceira etapa, faz-se uma retroanálise para aferição da estimativa semiempírica unificada da primeira etapa. Propõe-se, assim, o uso da separação das parcelas de atrito e ponta por meio de métodos de transferência de carga, bem como pela proposta de ajustes polinomiais, no caso de ensaios instrumentados. A análise crítica desse processo gerou a proposta de uma nova abordagem matemática da transferência de carga. A correção dos valores adotados para os coeficientes semiempíricos de cada camada, individualmente, é feita pela proposta de aplicação do conceito de Hierarquia dos Solos (AMANN, 2000). Os resultados de correção dos métodos semiempíricos, contudo, são específicos para o solo de cada local em estudo. Assim, são utilizados, como exemplo, ensaios em diversas regiões do país, o que permite a verificação da aplicabilidade da metodologia proposta. / The research starts from the fact that the semiempirical methods for estimating the pile load capacity shouldn\'t be used indiscriminately in any country\'s region without making proper adjustments to the local soil characteristics. It is verified, from this, that there are no specific methodologies to make such adjustments and the geotechnical engineers find themselves forced to perform a simple classification of the methods in \"conservative\" or \"against the safety\", which constitutes a form of paradigm. In this context, this paper proposes a Unified Semiempirical Methodology (MSU) in three steps. In the first, the designer estimates the foundation load capacity from the optimization of best practices adopted by different semiempirical methods used in Brazil. A discussion is also made the toe embedment and the creation of new semiempirical methods. In the second step, the verification of the foundation performance is carried out, based on the failure criteria applied to the load-settlement curve of load tests. At this step, the inaccuracies from that paradigm are outlined and a new proposal is made for applying the failure criteria. In the third step, a backanalysis is accomplished to admeasure the unified semiempirical estimative from the first step. It is, thus, proposed to separate both shaft friction and toe resistance from the total load, by means of load transfer methods, and by the proposal of polynomial adjustments in the case of instrumented piles. With the critical analysis of this process, a new mathematical approach to load transfer is presented. The correction of the coefficients of the semiempirical methods is made by the application of the Soils\'s Hierarchy concept (AMANN, 2000). The results of semiempirical methods correction, however, are specific to the soils of each particular site. The applicability, of the proposed methodology, is illustrated using pile load tests from various parts of the country.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The aim of this study was to evaluate the effect of different concentrations of hydrofluoric acid on the fatigue failure load of premolars restored with feldspathic ceramic inlays. Sixty upper premolars were embedded in PVC cylinders with acrylic resin up to 2 mm below the cement- enamel junction and prepared using an adapted device for that purpose. Teeth were randomly divided into three groups (n=20): HF1, HF5, and HF10, (conditioning with hydrofluoric acid for 60 s at concentrations of 1%, 5%, and 10%, respectively). Preparations were scanned using the CAD/CAM system with prefabricated blocks of feldspathic ceramic. The internal surfaces of the inlays were treated according to the groups, followed by application of silane coupling agent, and RelyX ARC resin cement was applied for cementation. The fatigue failure load was determined using the staircase method (10 Hz and 105 cycles in each step). The initial load (585.5 N) was applied on the slopes of the cusps through a cylinder attached to the test machine (InstronElectroPuls E3000). The fractured teeth were analyzed under a stereomicroscope for failure analysis. Statistical analysis was performed using one-way ANOVA. There was no statistical difference among the fatigue failure load of the tested groups: HF1 (448.5 N ±79.1), HF5 (360.7 N ±55.4), and HF10 (409.5 N ±121.1). Regarding the fracture mode, there was a predominance of interface fracture (50%), followed by cusp fracture (34.6%). It can be concluded that hydrofluoric acid concentrations used (1%, 5%, and 10%) did not influence the fatigue failure load of feldspathic ceramic inlays cemented on premolars. / Este estudo avaliou o efeito do condicionamento de inlays de cerâmica feldspátic com diferentes concentrações de ácido fluorídrico na carga de fratura sob fadiga de pré-molares. Sessenta pré-molares superiores foram embutidos em cilindros de PVC com resina acrílica, 2 mm abaixo da junção cemento-esmalte e preparados com caixas oclusais (2 mm) e proximais (4mm) padronizadas através de uma máquina adaptada para preparo. Os dentes foram divididos de forma randomizada em três grupos (n = 20): HF1; HF5 e HF10 (condicionamento com ácido fluorídrico durante 60 s nas concentrações de: 1%, 5% e 10% respectivamente). Os dentes foram moldados, os troquéis obtidos escaneados e as restaurações fresadas através do sistema CAD/CAM a partir de blocos pré-fabricados de cerâmica feldspática (VitaBlocks Mark II). A superfície dentária foi tratada com ácido fosfórico (38%) seguida da aplicação do sistema adesivo (Single Bond). A superfície interna das inlays foi condicionada de acordo com os respectivos grupos, seguido da aplicação do agente de união silano. A cimentação das inlays foi realizada com cimento resinoso (RelyX ARC). A carga de falha sob fadiga foi determinada utilizando o método da escada (staircase) a uma freqüência de 10 Hz e 105 ciclos, cuja carga inicial foi de 585,5 N, aplicada somente sobre as vertentes das cúspides, através de um cilindro de 8mm de diâmetro acoplado à máquina de teste (Instron Electropuls E3000). Os dentes fraturados foram analisados sob estereomicroscoscópio para classificação da falha. Análise estatística dos dados foi feita com ANOVA 1-fator. Não houve diferença estatística dos valores médios na carga de fratura sob fadiga entre os grupos testados: HF1-448,5N (±79,09); HF5-360,75 N (±55,4); HF10-409,5 N (±121,1). Considerando o modo de fratura, houve uma predominância de fraturas de interface (50%), seguida de fratura de cúspide (34,6%). Conclui-se que as concentrações de ácido fluorídrico utilizadas (1, 5 e 10%) não influenciam na carga de fratura sob fadiga de inlays de cerâmica feldspática cimentadas em pré molares.

Abstract Hip fracture is the most severe complication of osteoporosis. The occurrence of hip fracture is increasing worldwide as a result of the ageing of the population. The clinical assessment of osteoporosis and to some extent hip fracture risk is based on the measurement of bone mineral density (BMD) using dual X-ray absorptiometry (DXA). However, it has been demonstrated that most hip fractures occurring after a fall involve non-osteoporotic populations and that the geometry plays a critical role in the fracture risk assessment. A potential alternative for the assessment of hip fracture risk is finite element modelling, which is a computational method allowing simulation of mechanical loading. The aim of this study was to investigate different finite-element (FE) methods for predicting hip fracture type and eventually hip failure load in the simulation of a fall on the greater trochanter. An experimental fall on the greater trochanter was performed on over 100 cadaver femurs in order to evaluate the failure load and fracture type. In all studies, assessment of BMD, measurement of geometrical parameters and generation of finite element models were performed using DXA, digitized plain radiographs and computed tomography scans. The present study showed that geometrical parameters differ between specific hip fracture types. FE studies showed feasible accuracy in the prediction of hip fracture type, even by using homogeneous material properties. Finally, a new method to generate patient-specific volumetric finite element models automatically from a standard radiographic picture was developed. Preliminary results in the prediction of failure load and fracture type were promising when compared to experimental fractures. / Tiivistelmä Lonkkamurtuma on osteoporoosin vakavin seuraus. Lonkkamurtumatapaukset kasvavat maailmanlaajuisesti väestön ikääntymisen myötä. Osteoporoosin ja osin myös lonkkamurtumariskin kliininen arviointi perustuu luun mineraalitiheyden mittaamiseen kaksienergisellä röntgenabsorptiometrialla (Dual-energy X-ray absorptiometry, DXA). On kuitenkin osoitettu, että suurin osa kaatumisen seurauksena tapahtuvista lonkkamurtumatapauksista tapahtuu henkilöillä joilla ei ole todettua osteoporoosia, ja että myös luun muoto on tärkeä tekijä arvioitaessa lonkkamurtumariskiä. Laskennallinen mallintaminen elementtimenetelmällä mahdollistaa mekaanisen kuormituksen simuloinnin ja on potentiaalinen vaihtoehto lonkkamurtumariskin arviointiin. Tämän työn tarkoituksena on tutkia elementtimenetelmiä lonkkamurtumatyypin ja lopulta lonkan murtolujuuden ennustamiseksi simuloimalla kaatumista sivulle. Yli sataa reisiluuta kuormitettiin kokeellisesti murtolujuuden ja murtumatyypin määrittämiseksi. Luun mineraalitiheyden arviointi, muotoparametrien mittaus ja elementtimallit tehtiin käyttäen DXA:a, digitalisoituja röntgenkuvia ja tietokonetomografiakuvia. Tämä tutkimus osoittaa, että luun muotoparametrit vaihtelevat eri lonkkamurtumatyyppien välillä. Lonkkamurtumatyyppi voitiin ennustaa hyvällä tarkkuudella elementtimenetelmän avulla silloinkin, kun käytettiin homogeenisia materiaaliominaisuuksia. Lopuksi kehitettiin uusi menetelmä yksilöllisten kolmiulotteisten elementtimallien automaattiseen luontiin tavallisista röntgenkuvista. Alustavat tulokset lonkan murtolujuuden ja murtumatyypin ennustamisessa ovat lupaavia.