Abstract The study on SOC of article is one of package way for CSP. The SOC transmits messages by Solder Ball joining the board. It can make the volume of product decrease, but the reliability reduces on using. So the reliability of Solder Ball is a very important topic for study. The article for Solder Ball uses the Mixed-Viscoplastic way to simulate the warpage state of SOC when the temperature of Solder Ball rises by ANSYS. Then using the Viscoplastic material parameter simulates the acts by TCT experiment and checks the suitable Fatigue Model to get the analysis results turn into the reliability data. The reliability data puts to the proof with the experimental reliability data and compares differences to other documents.

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Automobile manufacturers are interested in lightweight materials, including magnesium, to increase vehicle fuel economy, improve performance and reduce emissions. In this work the deformation behavior of as-cast and rolled magnesium AZ31 alloy has been studied. In as-cast material, it was found that reheating at 400°C and above for 60 minutes increased the homogeneity of the as-cast structure and gave rise to repeatable deformation. At compression temperatures above 300°C dynamic recrystallization occurred; below 200°C, there was significant twinning. Annealing completely recrystallized the structure deformed below 200°C, but did not change the dynamically recrystallized structure. AZ31 alloy was also rolled at temperatures of 350, 400 and 450°C and rolling speeds of 20 and 50 rpm for 15 and 30% reduction in thickness to produce sheet. Before rolling, the alloy was preheated for I and 10 hours at the rolling temperatures. The sheets were then tensile tested at 300, 400 and 450°C with strain rates of 0.1, 0.01 and 0.001s-1. The flow curves and microstructures indicated that the tensile deformation mechanism changed with processing conditions. Two deformation mechanisms were present in the magnesium sheet depending on the strain rate and grain size. At slow strain rates and small grain size, the active deformation mechanism was grain boundary sliding. As grain sizes increased there was also a component of dislocation creep. At the fast strain rate, the deformation mechanism, regardless of grain size, was dislocation creep. At a true strain rate of 0.001s-1, it was found that rolling at 350°C with 30% reduction per pass yielded the finest microstructure and subsequently, the best hot deformation characteristics. At a true strain rate of 0.1s-1, rolling at 450°C with 30% reduction per pass yielded a coarser, more recrystallized microstructure with best hot deformation characteristics.

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Indiana University-Purdue University Indianapolis (IUPUI) / High-temperature alloys have been extensively used in many applications, such as furnace muffles, fuel nozzles, heat-treating fixtures, and fuel nozzles. Due to such conditions, these materials should have resistance to cyclic loading, oxidation, and high heat. Although there are numerous prior experimental and theoretical studies, there is insufficient understanding of application of the unified viscoplasticity theory to finite element software for fatigue life prediction. Therefore, the goal of this research is to develop a procedure to implement unified viscoplasticity theory in finite element (FE) model to model the complex material deformation pertaining to thermomechanical load and implement an incremental damage lifetime rule to predict the thermomechanical fatigue life of high-temperature alloys. The objectives of the thesis are: 1. Develop a simplified integrated approach to model the fatigue creep deformation under the framework of ‘unified viscoplasticity theory’ 2. Implement a physics - based crack growth damage model into the framework 3. Predict the deformation using the unified viscoplastic material model for ferritic cast iron (Fe-3.2C-4.0Si-0.6Mo) SiMo4.06 4. Predict the isothermal low cycle fatigue (LCF) and LCF-Creep life using the damage model In this work, a unified viscoplastic material model is applied in a FE model with a combination of Chaboche non-linear kinematic hardening, Perzyna rate model, and static recovery model to model rate-dependent plasticity, stress relaxation, and creep-fatigue interaction. Also, an incremental damage rule has been successfully implemented in a FE model. The calibrated viscoplastic model is able to correlate deformations pertaining to isothermal LCF, LCF-Creep, and thermal-mechanical fatigue (TMF) experimental deformations. The life predictions from the FE model have been fairly good at room temperature (20°C), 400°C, and 550°C under Isothermal LCF (0.00001/s and 0.003/s) and LCF-Creep tests. The material calibration techniques proposed for calibrating the model parameters resulted in a fairly good correlation of FE model derived hysteresis loops with experimental hysteresis, pertaining to Isothermal LCF (ranging from 0.00001/s to 0.003/s), Isothermal LCF-Creep tests (withhold time) and TMF responses. In summary, the method and models developed in this work are capable of simulating material deformation dependency on temperature, strain rates, hold time, therefore, they are capable of modeling creep-stress relaxation and fatigue interaction in high-temperature alloy design.