在类损伤变分框架内重新表述塑性失稳
Reformulating plastic instabilities within a damage-like variational framework
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中文总结 AI 辅助
本文提出一个类损伤变分框架，用内部变量区分硬化与软化，以统一描述塑性失稳并借助正则化工具解决计算问题。
中文摘要 AI 辅助
金属中的屈服点现象、土壤和雪中的反裂纹，以及晶格超材料中的平面坍塌，都是塑性失稳的不同表现形式，其特征为应力软化和应变局部化。目前存在多种独立的构型描述，且均面临类似挑战：将局部事件与全局测量关联的实验困难，以及计算收敛性差、虚假局部化和网格敏感性等问题。本研究提出一种最小化的、与场无关的构型框架，其中塑性软化由类损伤内部变量表示，该变量明确区分了稳定的硬化行为与不稳定的软化行为。所得公式具有变分结构，并能利用源自延性断裂领域的正则化工具。该框架旨在强调塑性失稳现象间的相似性，并建立与连续损伤力学的桥梁，为局部化塑性流动的正则化变分公式开辟道路。
英文摘要
Yield point phenomena in metals, anticracks in soils and snows, or planewise collapses in lattice metamaterials, are different manifestations of plastic instabilities characterized by stress softening and strain localization. Several independent constitutive descriptions exist and suffer from similar challenges: experimental difficulties to link local events to global measurements, and computational lack of convergence, spurious localization and mesh sensitivity. This work proposes a minimal field-agnostic constitutive framework where plastic softening is represented by a damage-like internal variable which explicitly separates stable hardening behavior from unstable softening. The resulting formulation admits a variational structure and can leverage regularization tools originally developed by the ductile fracture community. The framework aims at emphasizing similarities within plastic instability phenomena and establishing a bridge with continuum damage mechanics, to open a path towards regularized variational formulations of localized plastic flows.
发表机构
- SINTEF（辛特夫）
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