Department of Mechanical Science and Engineering, Institute for Condensed Matter Theory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61820, USA.
Phys Rev Lett. 2014 Jan 31;112(4):045503. doi: 10.1103/PhysRevLett.112.045503. Epub 2014 Jan 28.
A spring lattice model with the ability to simulate elastic-plastic-brittle transitions in a disordered medium is presented. The model is based on bilinear constitutive law defined at the spring level and power-law-type disorder introduced in the yield and failure limits of the springs. The key parameters of the proposed model effectively control the disorder distribution, significantly affecting the stress-strain response, the damage accumulation process, and the fracture surfaces. The model demonstrates a plastic strain avalanche behavior for perfectly plastic as well as hardening materials with a power-law distribution, in agreement with the experiments and related models. The strength of the model is in its generality and ability to interpolate between elastic-plastic hardening and elastic-brittle transitions.
提出了一种具有模拟无序介质中弹塑性脆性转变能力的弹簧格子模型。该模型基于在弹簧水平定义的双线性本构定律和在弹簧的屈服和破坏极限中引入的幂律型无序。所提出模型的关键参数有效地控制了无序分布，显著影响了应力-应变响应、损伤积累过程和断裂面。该模型展示了具有幂律分布的完全塑性和强化材料的塑性应变雪崩行为，与实验和相关模型一致。该模型的优势在于其通用性和在弹塑性强化与弹脆性转变之间进行插值的能力。
