Journal ArticleDOI
A consistent characteristic length for smeared cracking models
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TLDR
In this paper, a numerical scheme for crack modelling by means of continuous displacement fields is presented, where a crack is modelled as a limiting case of two singular lines (with continuous displacements, but discontinuous displacement gradients across them) which tend to coincide with each other.Abstract:
A numerical scheme for crack modelling by means of continuous displacement fields is presented. In two-dimensional problems a crack is modelled as a limiting case of two singular lines (with continuous displacements, but discontinuous displacement gradients across them) which tend to coincide with each other. An analysis of the energy dissipated inside the band bounded by both lines allows one to obtain an expression for the characteristic length as the ratio between the energy dissipated per unit surface area (fracture energy) and the energy dissipated per unit volume (specific energy) at a point. The application of these mathematical expressions to the finite element discretized medium allow one to obtain a general spatial and directional expression for the characteristic length which guarantees the objectivity of the results with respect to the size of the finite element mesh. The numerical results presented show the reliability of the proposed expressions.read more
Citations
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Journal ArticleDOI
A plastic-damage model for concrete
TL;DR: In this article, a constitutive model based on an internal variable-formulation of plasticity theory for the non-linear analysis of concrete is presented, which uses a new yield criterion which matches experimental data quite well and it accounts for both elastic and plastic stiffness degradations effects.
Journal ArticleDOI
Plastic-Damage Model for Cyclic Loading of Concrete Structures
Jeeho Lee,Gregory L. Fenves +1 more
TL;DR: In this paper, a new plastic-damage model for concrete subjected to cyclic loading is developed using the concepts of fracture-energy-based damage and stiffness degradation in continuum damage mechanics.
Journal ArticleDOI
An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
TL;DR: In this paper, qualitative features of solutions exhibiting strong discontinuities in rate-independent inelastic solids are identified and exploited in the design of a new class of finite element approximations.
Journal ArticleDOI
Progressive damage modeling in fiber-reinforced materials
Ireneusz Lapczyk,Juan A. Hurtado +1 more
TL;DR: In this article, an anisotropic damage model suitable for predicting failure and post-failure behavior in fiber-reinforced materials is presented, which is intended to predict behavior of elastic-brittle materials that show no significant plastic deformation before failure.
Journal ArticleDOI
A plasticity concrete material model for dyna3d
TL;DR: In this article, the plasticity concrete material model in the Lagrangian finite element code DYNA3D was assessed and enhanced, and the main modifications include the implementation of a third independent yield failure surface, removal of the tensile cutoff, and extension of the model in tension.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Introduction to the mechanics of a continuous medium
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Journal ArticleDOI
Crack band theory for fracture of concrete
Zdeněk P. Bažant,Byung H. Oh +1 more
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.
Book ChapterDOI
Numerical modeling of discrete crack propagation in reinforced and plain concrete
TL;DR: The earliest applications of the finite element method to concrete structures included crack modeling as mentioned in this paper, which can be completely characterized by two essential elements: the manner of inclusion of a crack in the mesh, and the criterion for crack instability and direction of growth.
Book ChapterDOI
Numerical methods to simulate softening and fracture of concrete
TL;DR: The tensile fracture of concrete is as a rule regarded as brittle as discussed by the authors, which causes the fracture process zone in front of a growing crack to be of the order of 100-200 mm or even longer.