Discrete fracture propagation analysis using a robust combined continuation method

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:193

Article

Mejia Sanchez, Eleazar Cristian¹  Paullo Munoz, Luis Fernando^1,2  Roehl, Deane^1,2 

[1] Pontifical Catholic Univ Rio de Janeiro, Tecgraf Inst, Rua Marques Sao Vicente 225, BR-22453900 Rio De Janeiro, RJ, Brazil

[2] Pontifical Catholic Univ Rio de Janeiro, Dept Civil & Environm Engn, Rua Marques de Sao Vicente 225, BR-22453900 Rio De Janeiro, RJ, Brazil

关键词: Rock fracture;    Softening behavior;    Cohesive elements;    Damage law;    Continuation methods;   

DOI  :  10.1016/j.ijsolstr.2020.02.002

来源: Elsevier

【 摘 要 】

The prediction of equilibrium paths in the presence of brittle fractures remains a challenge, despite the advances in the fracture modelling techniques. Difficulties arise in the solution of the equilibrium equations in the presence of material and structural instabilities. This work proposes a continuation method with multiple restrictions to solve the nonlinear system of equilibrium equations and overcome global convergence problems owing to the sudden energy release in fracture propagation analyses. The method combines simultaneously the cylindrical arc-length and the dissipation-energy control methods. In addition, this method allows the use of algorithms for the solution of linear systems of equations, which do not require the assembly of the global stiffness matrix. Numerical examples of tensile-mode and mixedmode fracture propagation are presented and compared with experimental results. A zero-thickness interface element with linear softening damage model simulates mixed-mode fracture. The results show the accuracy, robustness, and effectiveness of the proposed continuation method even for challenging fracture problems. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

Free