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首页> 外文会议>ASME(American Society of Mechanical Engineers) Pressure Vessels and Piping Conference vol.2: Computer Technology; 20050717-21; Denver,CO(US) >A FORWARD EXPLICIT ALGORITHM WITH AUTOMATIC ERROR CONTROL FOR A CYCLIC THERMOVISCOPLASTIC COUPLED WITH DAMAGE MODEL OF Sn-Pb SOLDER
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A FORWARD EXPLICIT ALGORITHM WITH AUTOMATIC ERROR CONTROL FOR A CYCLIC THERMOVISCOPLASTIC COUPLED WITH DAMAGE MODEL OF Sn-Pb SOLDER

机译：Sn-Pb焊料损伤模型的循环热弹塑性耦合自动误差控制的前向显式算法

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摘要

A self-correcting forwards gradient time integration procedure is formulated for the integration of a unified viscoplastic constitutive coupled with damage model for a eutectic solder alloy under cyclic fatigue loading. The procedure has been implemented numerically in the commercial finite element (FE) code ABAQUS (Version 6.2) via the user-defined material subroutine. The stress (constitutive) Jacobian explicit solution is derived. Schemes of the algorithm are verified by a series of numerical examples, including (1) Single-element simulations for uniaxial test, tensile creep, and fatigue simulations to reveal the optimum combination of the user-specified tolerance and the prescribed load step size to obtain a desired accuracy at a minimum cost. (2) Two three-dimensional analyses for monotonic tensile loading and fatigue loading were conducted for a miniature specimen of solder to show the capability of the proposed procedure to deal with thermomechanical loading. (3) Simulation of a shear notched specimen under monotonic loading was compared with the test to illustrate the ability of this algorithm for the specimen that has a serious damage region. The numerical examples illustrated that the explicit algorithm as well as empirical rule for adaptive time increment is effective for simulating cyclic thermoviscoplastic behavior of solder. The research can be applied to the simulation of viscoplasic behavior and fatigue life of softening materials.
机译：制定了一种自校正正向梯度时间积分程序，用于在循环疲劳载荷下对共熔焊料合金的统一粘塑性本构和损伤模型进行积分。该过程已通过用户定义的材料子例程在商业有限元（FE）代码ABAQUS（版本6.2）中以数字方式实现。得出应力（本构）雅可比显式解。通过一系列数值示例验证了该算法的方案，其中包括（1）单轴测试的单元素模拟，拉伸蠕变和疲劳模拟，以揭示用户指定的公差和规定的载荷步长的最佳组合，从而获得以最小的成本获得所需的精度。 （2）对微型焊料样品进行了单调拉伸载荷和疲劳载荷的两个三维分析，以显示所提出程序处理热机械载荷的能力。 （3）将单调荷载下的剪切缺口试样的仿真与试验进行了比较，以说明该算法对具有严重损坏区域的试样的能力。数值算例表明，用于自适应时间增量的显式算法和经验法则对于模拟焊料的循环热粘塑性行为是有效的。该研究可用于模拟软化材料的粘弹性和疲劳寿命。

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