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首页> 外文期刊>International Journal of Solids and Structures >On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations
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On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations

机译：强不连续运动学和连续本构方程引起的离散本构模型

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On the basis of continuum constitutive models (stress vs. strain), the introduction of strong discontinuity kinematics (considering jumps in the displacement fields across a discontinuity interface) induces projected discrete constitutive models (traction-displacement jumps) in a consistent manner. Therefore, this projection provides possible links between the classical continuum strain-localization analysis and the non-linear (decohesive) fracture mechanics techniques. The strong discontinuity analysis shows that (bandwidth based) regularization of the hardening/softening parameter is the crucial modification to be done on the continuum model to achieve such a projection, and it also provides the strong discontinuity conditions that set restrictions on the stress state compatible with bifurcations in a strong discontinuity format. The methodology is illustrated on the basis of two classical families of non-linear constitutive models (scalar continuum damage and elasto-plasticity) for which the corresponding discrete constitutive models and the strong discontinuity conditions are derived. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 23]
机译：在连续本构模型（应力与应变）的基础上，强不连续运动学的引入（考虑跨不连续界面的位移场中的跃迁）以一致的方式诱发了预测的离散本构模型（牵引位移跃迁）。因此，该预测提供了经典连续谱应变局部化分析与非线性（解粘）断裂力学技术之间的可能联系。强不连续性分析表明，硬化/软化参数的（基于带宽）正则化是对连续体模型进行的关键修改，以实现这样的预测，并且它还提供了强不连续性条件，该条件设置了对应力状态兼容的限制分叉处具有很强的不连续性。在两个经典的非线性本构模型族（标量连续损伤和弹塑性）的基础上说明了该方法，并从中推导了相应的离散本构模型和强不连续性条件。 （C）2000 Elsevier ScienceLtd。保留所有权利。 [参考：23]

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