Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 46, Issue 17, Pages 3222-3234Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.04.013
Keywords
Cohesive elements; Monte Carlo simulation; Finite element method; Random heterogeneous fracture; Quasi-brittle materials
Categories
Funding
- EPSRC UK [EP/F00656X/1]
- China Scholarship Council
- National Natural Science Foundation of China [50579081]
- Engineering and Physical Sciences Research Council [EP/F00656X/1] Funding Source: researchfish
- EPSRC [EP/F00656X/1] Funding Source: UKRI
Ask authors/readers for more resources
A numerical method is developed to simulate complex two-dimensional crack propagation in quasi-brittle materials considering random heterogeneous fracture properties. Potential cracks are represented by pre-inserted cohesive elements with tension and shear softening constitutive laws modelled by spatially-varying Weibull random fields. Monte Carlo simulations of a concrete specimen under uni-axial tension were carried out with extensive investigation of the effects of important numerical algorithms and material properties on numerical efficiency and stability, crack propagation processes and load-carrying capacities. It was found that the homogeneous model led to incorrect crack patterns and load-displacement curves with strong mesh-dependence, whereas the heterogeneous model predicted realistic, complicated fracture processes and load-carrying capacity of little mesh-dependence. Increasing the variance of the tensile strength random fields with increased heterogeneity led to reduction in the mean peak load and increase in the standard deviation. The developed method provides a simple but effective tool for assessment of structural reliability and calculation of characteristic material strength for structural design. (C) 2009 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available