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Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity

机译：胶粘剂有限变形弹塑性强度差的模拟

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摘要

The experimental investigation of certain adhesive materials reveals elastic strains, plastic strains and hardening, respectively. Additionally a pronounced strength difference between tension, torsion or combined loading is observed. The purpose of this work is the simulation of these phenomena in the framework of large strain elasto-plasticity. To this end a yield function dependent on the first and second basic invariants of the Cauchy stress tensor is introduced. Furthermore, a plastic potential with the same mathematical structure is used to formulate the evolution equations under the assumption of small elastic strains. Upon considering thermodynamic consistency of the model equations some restrictions on the material parameters are derived. Furthermore numerical aspects are addressed concerning the integration of the constitutive relations and the finite element equilibrium iteration. In the numerical examples, firstly, we compare simulated and experimental results exhibiting the yield strength difference between tension and torsion for the adhesive material Betamate 1496. A second example investigates the deformation evolution of a compact tension specimen with an adhesive zone.
机译：对某些粘合剂材料的实验研究分别揭示了弹性应变，塑性应变和硬化。另外，在张力，扭转或组合载荷之间观察到明显的强度差。这项工作的目的是在大应变弹塑性的框架内模拟这些现象。为此，引入了取决于柯西应力张量的第一和第二基本不变量的屈服函数。此外，在弹性应变小的前提下，使用具有相同数学结构的塑性势来公式化演化方程。考虑到模型方程的热力学一致性，得出了对材料参数的一些限制。此外，数值方面涉及本构关系和有限元平衡迭代的积分。在数值示例中，首先，我们比较了模拟结果和实验结果，得出粘合材料Betamate 1496在拉伸和扭转之间的屈服强度差。第二个示例研究了带有粘合区的紧凑拉伸试样的变形演化。

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