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首页> 外文期刊>International Journal of Adhesion & Adhesives >Simulation of strength difference coupled to softening in elasto-plasticity for adhesive materials
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Simulation of strength difference coupled to softening in elasto-plasticity for adhesive materials

机译：胶粘剂强度差与弹塑性软化耦合的模拟

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摘要

Rubber-toughened adhesive materials exhibit a hardening regime with a pronounced strength difference between tension, torsion or combined loading. Furthermore a softening regime is observed, also dependent on the stress state of tension, torsion or combined loading. For simulation of these phenomena a yield function dependent on the first and second basic invariants of the related effective stress tensor in the framework of elasto-plasticity is used in this work. A plastic potential with the same mathematical structure is introduced to formulate the evolution equation for the inelastic strains. A softening function is proposed in a multiplicative way, which accounts for both, evolution of softening subject to devjatoric stress states and volumetric stress states. Furthermore thermodynamic consistency of the model equations is considered, thus rendering some restrictions on the material parameters. The resulting evolution equations are integrated with an implicit Euler scheme. Three examples are presented. The first example demonstrates the capability of the model equations to simulate the softening combined to strength difference between tension and torsion for an epoxy resin adhesive material. Two additional finite element simulations investigate the deformation evolution within an adhesive layer for a double-U-shaped specimen and a T-joint.
机译：橡胶增韧的粘合剂材料表现出一种硬化机制，在张力，扭转或组合载荷之间具有明显的强度差。此外，观察到软化状态，其也取决于张力，扭转或组合载荷的应力状态。为了模拟这些现象，在这项工作中使用了取决于相关有效应力张量的第一和第二基本不变量的屈服函数。引入具有相同数学结构的塑性势来制定非弹性应变的演化方程。以乘法的方式提出了一种软化函数，该函数既考虑了软化在服从于应力应力状态又涉及体积应力状态下的演变。此外，考虑了模型方程的热力学一致性，因此对材料参数产生了一些限制。生成的演化方程与隐式Euler方案集成在一起。给出了三个例子。第一个例子展示了模型方程式模拟环氧树脂粘合剂材料软化结合到拉伸强度和扭转强度之间的强度差的能力。另外两个有限元模拟研究了双U形试样和T型接头在粘合剂层内的变形演化。

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