Density-driven damage mechanics (D3-M) model for concrete I: mechanical damage
TL;DR: In this paper, a new approach is proposed to model the damage in concrete using fracture mechanics, continuum damage mechanics, and failure envelope theories, which is based on the failure envelope theory.
Abstract: Damage in concrete has been modelled using various approaches such as fracture mechanics, continuum damage mechanics and failure envelope theories. This study proposes a new approach to model the i...
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TL;DR: In this paper, the authors developed a relation that is linear in both the Cauchy stress and the linearized strain by linearizing implicit constitutive relations between the stress and strain.
Abstract: In this short note, we develop a constitutive relation that is linear in both the Cauchy stress and the linearized strain, by linearizing implicit constitutive relations between the stress and the ...
16 citations
10 Mar 2021
16 citations
10 citations
Cites methods from "Density-driven damage mechanics (D3..."
...Murru et al [7], [8] used a model that is a sub-class of the models developed in [1] to study damage in concrete, andMurru and Rajagopal [9] used a constitutive relation established in [1] to study the problemof stress concentration due to the presence of a hole in a slab that is subject to uniaxial extension....
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TL;DR: In this paper, a density driven damage mechanics approach and its application to model mechanical damage in concrete are presented, where chemical and chemo-mechanical damage in concretized concrete is modeled.
Abstract: In Part I, a density driven damage mechanics (D3-M) approach and its application to model mechanical damage in concrete are presented. In this study, chemical and chemo-mechanical damage in concret...
8 citations
TL;DR: To treat well-posedness of the quasi-linear elliptic problem, the one-parameter dependence, regularization of the linear-fractional singularity by thresholding, and applying the Browder–Minty existence theorem for the regularized problem are relied on.
Abstract: We study some mathematical properties of a novel implicit constitutive relation wherein the stress and the linearized strain appear linearly that has been recently put into place to describe elastic response of porous metals as well as materials such as rocks and concrete. In the corresponding mixed variational formulation the displacement, the deviatoric and spherical stress are three independent fields. To treat well-posedness of the quasi-linear elliptic problem, we rely on the one-parameter dependence, regularization of the linear-fractional singularity by thresholding, and applying the Browder–Minty existence theorem for the regularized problem. An analytical solution to the nonlinear problem under constant compression/extension is presented.
7 citations
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01 Jan 2008
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Abstract: A method is presented in which fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened. This assumption may be regarded as a way of expressing the energy adsorption GC in the energy balance approach, but it is also in agreement with results of tension tests. As a demonstration the method has been applied to the bending of an unreinforced beam, which has led to an explanation of the difference between bending strength and tensile strength, and of the variation in bending strength with beam depth.
5,564 citations
"Density-driven damage mechanics (D3..." refers background in this paper
...…approaches like the crack band model managed to overcome the issue associated with the replacement of several microcracks with single crack path (Hillerborg et al. 1976, Wecharatana and Shah 1983, Liaw et al. 1990, Gopalaratnam and Ye © 2020 Informa UK Limited, trading as Taylor & Francis…...
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TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
5,505 citations
Book•
01 Jan 1992TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Abstract: Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in which matter manifests itself only through its inertia, independent of its constitution; “modern” physics likewise turns its back, since it concerns solely the small particles of matter, declining to face the problem of how a specimen made up of such particles will behave in the typical circumstances in which we meet it. Materials, however, continue to furnish the masses of matter we see and use from day to day: air, water, earth, flesh, wood, stone, steel, concrete, glass, rubber, ... All are deformable. A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys.
2,644 citations
"Density-driven damage mechanics (D3..." refers background in this paper
...where T is the Cauchy stress tensor, and ci, i =1,2,3 depend on X, ρ, tr(B), tr(B2) and tr(B3) (Truesdell and Noll 2004), and tr is the trace operator....
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...The most general compressible homogeneous isotropic Cauchy elastic body is represented as T = c1I+ c2B+ c3B2, (7) where T is the Cauchy stress tensor, and ci, i =1,2,3 depend on X, ρ, tr(B), tr(B2) and tr(B3) (Truesdell and Noll 2004), and tr is the trace operator....
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TL;DR: In this article, the authors describe the so called interfacial transition zone (ITZ) in concrete as the region of the cement paste around the aggregate particles, which is perturbed by the presence of the aggregate, and show that the higher porosity present initially is significantly diminished by the migration of ions during hydration.
Abstract: This paper describes the so called interfacial transition zone—ITZ—in concrete. This is the region of the cement paste around the aggregate particles, which is perturbed by the presence of the aggregate. Its origin lies in the packing of the cement grains against the much larger aggregate, which leads to a local increase in porosity and predominance of smaller cement particles in this region. The ITZ is region of gradual transition and is highly heterogeneous, nevertheless the average microstructural features may be measured by analysis of a large numbers of backscattered electron images of polished concrete samples. Such measurements show that the higher porosity present initially is significantly diminished by the migration of ions during hydration.
945 citations
"Density-driven damage mechanics (D3..." refers background in this paper
...This region is characterised by high porosity and the reduction of unhydrated cement near the surface of the inclusion (aggregates, fibres, steel reinforcement) caused by the inability of the cement particles to pack efficiently near these inclusions ( ‘wall effect’) (Scrivener et al. 2004)....
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