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Journal ArticleDOI

Effect of finite element choice in blunt crack band analysis

TLDR
In this article, the same results were obtained for linear strain triangles and for all three methods of energy variation, of equivalent strength, and of fitting asymptotic series to nodal displacements.
About
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-12-01. It has received 46 citations till now. The article focuses on the topics: Mixed finite element method & Stress intensity factor.

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Citations
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Crack band theory for fracture of concrete

TL;DR: In this article, a fracture theory for a heterogenous aggregate material which exhibits a gradual strain-softening due to microcracking and contains aggregate pieces that are not necessarily small compared to structural dimensions is developed.
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Nonlocal damage theory

TL;DR: In this paper, the authors proposed a nonlocal damage theory, which is based on the nonlocal treatment of damage from the local treatment of elastic behavior, and the only required modification is to replace the usual local damage energy release rate with its spatial average over the representative volume of the material whose size is a characteristic of a material.
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Nonlocal integral formulations of plasticity and damage: Survey of progress

TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.
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Continuum Theory for Strain‐Softening

TL;DR: In this article, it is shown that failure occurs by progressive distributed damage during which the material exhibits strain-softening, i.e., a gradual decline of stress at increasing strain.
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Local approach of fracture

TL;DR: In this article, a review of papers published during the last 10 or 15 years to describe the crack behavior in structures by means of continuum damage mechanics is presented, focusing on a classification of the different methods used and on the different behaviors taken into account: elasticity, plasticity, viscoplasticity; brittle damage, fatigue damage, ductile and creep damages.
References
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Blunt Crack Band Propagation in Finite Element Analysis

TL;DR: In this article, three objective methods for the propagation of a crack band of a blunt front are proposed based on the rate of energy release by the crack band and the angle of the crack front.