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Alternative approach in distortion gradient plasticity theory

机译:失真梯度塑性理论的替代方法

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摘要

This study presents an alternative thermodynamically consistent distortion gradient plasticity theory for polycrystalline materials. The formulation employs the principle of virtual power, laws of thermodynamics, and codirectionality hypothesis for the constructions of macroscopic and microscopic balance laws governing the elastic and plastic responses of the materials. Expressing the plastic distortion tensor in terms of accumulated plastic strain and plastic rotation vector shows that the two quantities are governed by independent plastic flow equations. In addition, it is obtained that the flow equation which governs the accumulated plastic strain interacts with the elastic response of the materials, while the flow equation governing the plastic rotation vector is independent of the elastic response. Finally and among other things, it is shown that the present model is computationally less expensive in the sense that it requires lesser numbers of equations for the prediction of plastic behavior of the materials.
机译:该研究呈现了多晶材料的替代热力学一致的变形梯度塑性理论。该制剂采用虚拟权力,热力学定律和宏观和微观平衡规设的编码性假设的原则,用于治疗材料的弹性和塑料反应的宏观和微观平衡规设。在累积的塑料应变和塑料旋转矢量方面表达塑性失真张量表明,两种数量由独立的塑料流动方程管辖。另外,获得控制累积塑料应变的流动方程与材料的弹性响应相互作用,而控制塑料旋转矢量的流动方程独立于弹性响应。最后以及其他事情,示出了本模型在计算上的速度较低,这在其需要较少数量的方程式的塑料行为的较小方程中昂贵。

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