Kale Sohan, Ostoja-Starzewski Martin
Department of Mechanical Science and Engineering, Institute for Condensed Matter Theory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana 61801, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042405. doi: 10.1103/PhysRevE.90.042405. Epub 2014 Oct 23.
We use a spring lattice model with springs following a bilinear elastoplastic-brittle constitutive behavior with spatial disorder in the yield and failure thresholds to study patterns of plasticity and damage evolution. The elastic-perfectly plastic transition is observed to follow percolation scaling with the correlation length critical exponent ν≈1.59, implying the universality class corresponding to the long-range correlated percolation. A quantitative analysis of the plastic strain accumulation reveals a dipolar anisotropy (for antiplane loading) which vanishes with increasing hardening modulus. A parametric study with hardening modulus and ductility controlled through the spring level constitutive response demonstrates a wide spectrum of behaviors with varying degree of coupling between plasticity and damage evolution.
我们使用一种弹簧晶格模型，其中弹簧遵循具有屈服和破坏阈值空间无序的双线性弹塑性-脆性本构行为，以研究塑性和损伤演化模式。观察到弹性-完全塑性转变遵循具有相关长度临界指数ν≈1.59的渗流标度，这意味着对应于长程相关渗流的普适类。对塑性应变积累的定量分析揭示了一种偶极各向异性（对于反平面加载），它随着硬化模量的增加而消失。通过弹簧级本构响应控制硬化模量和延性的参数研究表明，塑性和损伤演化之间耦合程度不同的行为范围很广。
