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A thermo-mechanical viscoelastic analysis of orthotropic materials

机译：正交异性材料的热机械粘弹性分析

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摘要

This study introduces a numerical algorithm for nonlinear thermo-mechanical viscoelastic analyses of orthotropic composite materials and structures that follow thermo-rheologically complex behaviors. The algorithm is derived based on implicit stress integration solutions within a general displacement based finite element (FE) framework for small deformations and uncoupled thermo-mechanical problems. The Schapery's nonlinear single integral form is generalized for modeling viscoelastic responses of an orthotropic medium. The effects of stress and temperature are incorporated in the elastic and time-dependent material properties, which allow prediction of time-dependent responses under general stress and temperature histories. A recursive-iterative method is developed to calculate the current stress state from the given strains and temperature, and the history variables stored at the previous time step. Furthermore, a consistent tangent stiffness matrix is formulated to enhance equilibrium and avoid divergence at the structural level. Available experimental data of nonlinear viscoelastic responses of orthotropic composite materials are used to verify the above numerical algorithm. An integrated recursive-iterative algorithm with FE structural analysis is also presented for creep responses of orthotropic composite plate with a hole.
机译：本研究介绍了一种数值算法，用于对遵循热流变学复杂行为的正交各向异性复合材料和结构进行非线性热机械粘弹性分析。该算法是基于隐含应力积分解决方案派生的，该解决方案在一般的基于位移的有限元（FE）框架内解决了小变形和不耦合的热机械问题。 Schapery的非线性单积分形式被普遍用于建模正交各向异性介质的粘弹性响应。应力和温度的影响被纳入弹性和随时间变化的材料属性中，从而可以预测一般应力和温度历史下随时间变化的响应。开发了一种递归迭代方法，可以根据给定的应变和温度以及存储在前一个时间步长的历史变量来计算当前应力状态。此外，制定了一致的切线刚度矩阵，以增强平衡并避免在结构水平上发散。正交各向异性复合材料非线性粘弹性响应的可用实验数据用于验证上述数值算法。还提出了具有有限元结构分析的集成递归迭代算法，用于带孔的正交异性复合板的蠕变响应。

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