Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 365, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.112956
Keywords
Cohesive fracture; Frictional; Virtual element; Adaptive mesh refinement; Crack path tracking; Cracking algorithm; Interelement approach
Funding
- University of Rome Tor Vergata Mission Sustainability Programme [SPY-E81I18000540005]
- PRIN 2017 project 3D Printing: a bridge to the future (3DP Future). Computational methods, innovative applications, experimental validations of new materials and technologies [2017L7X3CS 004]
- ReLUIS (Italian Department of Civil Protection)
- project PRIN 2015 Multi-scale mechanical models for the design and optimization of micro-structured smart materials and metamaterials [2015LYYXA8 002, CUP H32F15000090005]
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The present paper proposes an innovative nucleation and propagation algorithm for fracture evolution in 2D cohesive media, based on virtual element method (VEM) technology. Initially, an interface cohesive law is described, which is able to account for the crack opening due to the evolution of a damage variable in mode I, mode II, and in mixed mode; the model includes unilateral contact and frictional effects. The VEM, which is used to model the elastic behavior of the bulk material, is presented in a simple and viable way, illustrating the projection operation necessary for defining strain and stress in a typical element, and discussing the stabilization technique. Then, the numerical algorithm for reproducing the crack nucleation, the fracture path generation and evolution is described. The procedure fundamentally consists in two steps, i.e. the nucleation and propagation criteria, and the topological adaptive mesh refinement. Numerical applications are developed in order to assess the ability of the proposed procedure to satisfactorily reproduce the crack nucleation and growth in solids. Comparisons with numerical results available in literature are reported, remarking the reliability of the implemented algorithm. (C) 2020 Elsevier B.V. All rights reserved.
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