Theoretical and numerical aspects in weak-compressible finite strain thermo-elasticity
Theoretical and numerical aspects in weak-compressible finite strain thermo-elasticity
复制标题
弱压缩有限应变热弹性的理论和数值方面
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
S. Hartmann
中科院分区：
文献类型：
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作者：
Ahmad;S. Hartmann
本文将一个近似不可压缩的弹性本构模型推广到热效应情况。首先，利用变形梯度的乘法分解为热和机械部分。热部分是纯体积的。此外，机械部分被乘法分解为体积保持和体积变化的部分，使最终的应力状态显示的温度依赖性的影响。该模型进行了仔细研究，鉴于热-机械耦合效应。其次，该模型被实施到一个时间自适应有限元公式的基础上高阶Rosenbrock型方法，这是一个完全迭代的过程，使真正快速的计算是可用的。文章最后与一个有代表性的弹性拉伸试样的三维数值模拟。
In this essay, a constitutive model for nearly incompressible elastic behavior is extended to the case to thermal effects. First, the use is made of the multiplicative decomposition of the deformation gradient into a thermal and a mechanical part. The thermal part is purely volumetric. Additionally, the mechanical part is multiplicatively decomposed into a volume-preserving and a volume-changing part so that the final stress state shows the influences of the temperature-dependence. The proposed model is carefully studied in view of the thermo-mechanical coupling effects. Second, the model is implemented into a time-adaptive finite element formulation based on higher-order Rosenbrock-type methods, which is a completely iteration-free procedure so that really fast computations are available. The article concludes with a three-dimensional numerical simulation of a representative elastomeric tensile specimen.