According to the fast development of portable electronic devices, their characteristics are inclined to miniature profile and lightweight. Nowadays, the wafer-level package (WLP) has been widely applied in portable electronic devices for its miniature profile and lightweight. It will become the mainstream trend later soon. The normal use of portable electronic devices brings low-frequency random vibrations to the electronic packages inside. Because of the increasing demand of these devices, the reliability of electronic packages subjected to repeated mechanical loads has become an important issue in the contemporary electronic packaging industry. In this paper both numerical and experimental studies were carried out to investigate the reliability life of Ultra-CSP under cyclic bending conditions. We perform four-point cyclic bending with various combinations of amplitudes and frequencies. Then, we do failure analysis in Ultra-CSP by observing the failure modes. A finite element model for the package is built up for dynamic as well as quasi-static analyses. Accumulated plastic work per bending cycle within the critical solder ball were calculated and together with the experimental results the parameters for the Coffin-Manson fatigue equation were fitted. Through finite element analysis we find that the solder ball which located in the corner has higher accumulated plastic work. Therefore, the crack in the solder ball grew more easily. Thus it lets package resistance rise to determine failure. It was observed from the bending experiments that the influence of frequencies on the fatigue life of the solder interconnects is inapparent. However, influence of amplitude is significant. From the results of both experiments and FEA, it was found that for this particular ultra-CSP specimen under cyclic bending conditions, the characteristic life was expressed as

Stiffness and strength models are derived for simply supported composite sandwich panels comprised of fibre-reinforced face sheets and polymer cores subject to symmetric four point bending and uniformly distributed loading. Optimal trajectories for minimum mass design are calculated using the models and situated on failure mechanism maps. A stiffness constraint is also derived to omit beam designs of excessive compliance. Analytical models were validated through an extensive series of experiments, considering beams comprised of GFRP face sheets with ROHACELL 51-IG and extruded polystyrene (EPS) polymer cores. An alternate loading fixture was used to simulate uniform pressure loads. In general, experiments were able to validate most analytical expressions for a range of experimental conditions. Though the predictions worked well with most beam cases, analytical models were noted to become unreliable for short or slender beams.

Stiffness and strength models are derived for simply supported composite sandwich panels comprised of fibre-reinforced face sheets and polymer cores subject to symmetric four point bending and uniformly distributed loading. Optimal trajectories for minimum mass design are calculated using the models and situated on failure mechanism maps. A stiffness constraint is also derived to omit beam designs of excessive compliance. Analytical models were validated through an extensive series of experiments, considering beams comprised of GFRP face sheets with ROHACELL 51-IG and extruded polystyrene (EPS) polymer cores. An alternate loading fixture was used to simulate uniform pressure loads. In general, experiments were able to validate most analytical expressions for a range of experimental conditions. Though the predictions worked well with most beam cases, analytical models were noted to become unreliable for short or slender beams.

No description available.

The demand for an insert on composite sandwich structures to aid in the arrestment of face-core delamination is of great need. This research studies the use of a damage arrestment device (DAD) that connects the carbon fiber face sheets to the foam core to find whether an increase in the structural integrity of the sandwich beam results. Experimental analysis was employed to test the samples and was verified by a theoretical and finite element approach. The mechanical properties of LTM45/CF1803 pre-impregnated carbon fiber and Last-A-foam FR 6710 polyvinylchloride foam were experimentally analyzed using ASTM D3039 and ASTM D1621 standards respectively to verify the manufacturer’s data for the given material. With all the mechanical data, the effects of adding DAD keys to a delaminated composite sandwich beam were studied under a four-point bending test using ASTM standard D6272 and compared with non-delaminated beams to see if an increase in ultimate strength could be achieved. The initial delamination in the beams under consideration was one inch in length and located in between the loaded span of the beam. Two control beams were utilized for comparison: one with no defects, and another with a one inch delamination introduced at the face-core interface. The DAD keys were added in two different configurations to potentially stop the delamination propagation and increase the ultimate strength. In the first configuration DAD keys were added 0.25 inches on either side of the initial delamination in the transverse direction and provided a significant increase in strength over the delaminated control beam. The second configuration had a DAD key running along the longitudinal axis of the sandwich beam and resulted in a significant increase in ultimate strength over the delaminated control beam. After testing ten successful samples for each of the six different configurations, it was concluded that the addition of DAD keys in both configurations significantly increased the structural integrity of both the delaminated and non-delaminated control beams. With all the experimental data acquired, finite element models were created in COSMOS. The purpose of the finite element analysis was to validate the experimental results by comparing the deflections of the beam subjected to four-point bending during the experiment to the deflections found numerically. The deflections for the various DAD key configurations found in the experimental work were in agreement with the finite element results.

The use of timber in building structures is steadily increasing. cross laminated timber (CLT) is an engineered wood product made of an uneven number of layers of lamellas glued at an angle of 90 degrees to each other. This gives CLT high stiffness and strength to bending in all directions, and capability of taking load both in-plane and out-of-plane. Due to the large size of CLT elements, they allow for quick assembly of strong structures. Due to both economic and environmental reasons it is important for producers of CLT to optimize the use of the wood material by using the timber with higher stiffness and strength where it is most needed. This thesis is about evaluating the bending and shear stiffness of CLT elements, when used as plates, depending on the quality of wood used in the different layers. Four-point bending tests are carried out on elements of different compositions and a parametrized finite element model is created. Thus, the model is validated on the basis of experimental tests to evaluate the influence of different quality of different layers. The measured dynamic MoE proved to have good potential to be used as the longitudinal bending stiffness in an FE-model, with a deviation from the experimental tests of less than 1%. There is a strong correlation between the bending stiffness and bending strength of the plates. The effective rolling shear modulus in pine was calculated to be around 170 MPa for pine of dimension 40 x 195 mm2 . Grading the boards into two different classes used for different layers proved to increase the MoE of the plates by 11-17% for 3- and 5-layer CLT.

This study investigates the mechanical differences between old and newly produced slatted floors through a four-point bending test. To understand to what extent the actual environment has affected the slatted floors, the carbonation depth and corrosion will be examined. The tests showed no mechanical differences between slatted floors which had been in service for a certain amount of years and newly produces ones. Corrosion could be observed on some of the samples but it was not because of the carbonation process. When comparing the calculations of reinforced and pre-stressed concrete slatted floors, the result showed that the pre-stressed floor could carry up to double the load of what the reinforced slatted floor could. The conclusion of this study is, that the pre-stressed slatted floors will certainly hold for at least thirty years and will most likely hold for many years to come.

No description available.

No description available.

O fenômeno de fadiga é caracterizado pela deterioração estrutural que um material está sujeito quando submetido a um estado de tensões e de deformações repetidas, resultando assim, em um trincamento do pavimento, que pode até culminar na sua ruptura após um número suficiente de repetições de carregamento. Este processo é considerado como sendo a perda de resistência do material quando solicitado por uma carga repetida. Conhecer a resistência à fadiga de misturas asfálticas torna-se relevante para a formulação das misturas, para o dimensionamento de uma estrutura ou para a escolha de uma adequada solução em uma obra de recuperação do pavimento de uma rodovia. O ensaio laboratorial mais utilizado no Brasil para analisar a fadiga de misturas é o de tração indireta por compressão diametral em corpos de prova cilíndricos, contudo este ensaio apresenta algumas variáveis que diferenciam os resultados obtidos em laboratório com a realidade apresentada em campo. Neste sentido, o presente trabalho analisou o comportamento à fadiga, através do ensaio de flexão em viga quatro pontos, de duas misturas asfálticas: concreto asfáltico com ligante modificado por polímero (COMPAFLEX 60/85) e concreto asfáltico com ligante modificado por polímero e adição de TLA (CAP TLA FLEX). Para obter as vigas de mistura asfáltica optou-se por utilizar uma metodologia de moldagem e compactação das placas em uma usina de asfalto. Após este processo as placas foram serradas para obtenção das vigas nos tamanhos definidos, sendo estas amostras ensaiadas para verificação da densidade aparente e grau de compactação. Com o intuito de atingir o objetivo proposto foram realizados ensaios de fadiga à flexão em quatro pontos, sob modo de carregamento à deformação e tensão controlada, ensaios de fadiga por compressão diametral (tensão controlada) e ensaios de resistência à tração, sendo estes realizados à temperatura de 25°C. Também foi determinado o módulo dinâmico das misturas estudadas para as temperaturas de 15°C, 20°C e 25°C. Os resultados obtidos demonstram que a metodologia escolhida para a moldagem e compactação das placas foi adequada, pois as amostras apresentaram valores de volume de vazios, densidade aparente e grau de compactação semelhantes aos estabelecidos nos projetos das misturas. Em relação aos resultados obtidos nos ensaios de fadiga por compressão diametral a mistura CA-TLA obteve valores de vida de fadiga superiores em relação à mistura CA-E, enquanto no ensaio de flexão em quatro pontos, à deformação controlada, a mistura CA-E apresentou maiores vidas de fadiga. Os resultados dos ensaios de módulo dinâmico das misturas CA-TLA e CA-E foram apresentados através das representações clássicas nas curvas isotérmica, frequência‐temperatura, isócrona, espaço de Black e plano cole‐cole, mostrando que a mistura CA-TLA apresentou maior rigidez em relação a mistura CA-E. / The phenomenon of fatigue is characterized by structural deterioration when a material is subjected to a state of repeated stress and strain cycles, thus resulting in cracking of the pavement which may even result in its failure after a sufficient number of load repetitions. Considering the fatigue resistance of asphalt mixtures becomes relevant for the formulation of mixes, for the design of a pavement structure or for choosing an adequate solution for pavement rehabilitation in highways. The laboratory test commonly employed in Brazil to analyze the fatigue life of asphalt mixes is the indirect tensile test by diametrical compression in cylindrical specimens. However, this test presents some variables that differentiate the results obtained in laboratory with the in situ loading conditions. In this sense, the present work examined the fatigue behavior, through the four points bending beam test, in two asphalt mixtures: asphalt concrete with binder modified by polymer (COMPAFLEX 60/85) and asphalt concrete with binder modified by polymer and TLA (CAP TLA FLEX) addition. To obtain the beams of asphalt mixture, it was chosen to use a methodology of molding and compaction of the slabs in an asphalt plant, after this process the slabs were sawn in order to obtain the beams in set sizes, and these samples tested to verify the apparent density and degree of compaction. For the research, flexural fatigue tests were conducted in four points bending beam under controlled strain and stress modes, fatigue tests by diametrical compression (stress controlled) and tensile strength tests, all these conducted at a temperature of 25°C. It was also determined dynamic modulus of the mixtures at temperatures of 15°C, 20°C and 25°C. The results show that the methodology chosen for molding and compaction of the plates were appropriate because the samples showed targeted values of void volume, bulk density and degree of compaction, similar to those established in the mix design. Regarding the results obtained in fatigue tests by diametrical compression the mixture CA-TLA obtained values higher fatigue life compared to the mix CA-E, while in the bending test on four points, the controlled deformation, the mixture CA-E showed higher fatigue lifes. The test results of dynamic modulus of mixtures CA-TLA and CA-E were presented through classical representations of the isotherm curves, frequencytemperature, isochrone, Black space and cole-cole plane, showing that mixture CA-TLA presented higher stiffness in relation to mixture CA-E.