Open Access

ARTICLE

Multi-Scale Damage Model for Quasi-Brittle Composite Materials

by Decheng Feng

1 Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University, Nanjing, 211189, China.
2 The Jiangsu Institution of Engineers, Nanjing, 210019, China.

∗ Corresponding Author: Decheng Feng. Email: .

(This article belongs to the Special Issue: Numerical Modeling and Simulation for Structural Safety and Disaster Mitigation)

Computer Modeling in Engineering & Sciences 2020, 122(3), 997-1014. https://doi.org/10.32604/cmes.2020.07265

Received 18 May 2019; Accepted 29 August 2019; Issue published 01 March 2020

Abstract

In the present paper, a hierarchical multi-scale method is developed for the nonlinear analysis of composite materials undergoing heterogeneity and damage. Starting from the homogenization theory, the energy equivalence between scales is developed. Then accompanied with the energy based damage model, the multi-scale damage evolutions are resolved by homogenizing the energy scalar over the meso-cell. The macroscopic behaviors described by the multi-scale damage evolutions represent the mesoscopic heterogeneity and damage of the composites. A rather simple structure made from particle reinforced composite materials is developed as a numerical example. The agreement between the fullscale simulating results and the multi-scale simulating results demonstrates the capacity of the proposed model to simulate nonlinear behaviors of quasi-brittle composite materials within the multi-scale framework.

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Keywords

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