Use of Fabric Tensors in Continuum Damage Mechanics of Solids with Micro-cracks

Voyiadjis, George Z.; Kattan, Peter I.; Taqieddin, Ziad N.

doi:10.1007/978-1-4614-8968-9_3-1

Cited by 3 publications

(13 citation statements)

References 28 publications

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“…In the EPD model of [11] a multi-hardening pressuresensitive effective-stress-space plasticity yield criterion is introduced in addition to the ED formulations previously discussed in the ED model (with some adjustments). This plasticity yield criterion is a modification to a criterion first introduced by Lubliner et al [34] and later adopted by Lee expressed in terms of the invariants of the effective stress tensor, material hardening functions, and material constants as follows:…”

Section: Uncoupled Epd Modelmentioning

confidence: 99%

“…In the uncoupled models, damage is associated with the elastic analysis, whereas the plastic constitutive equations, although present, remained in the effective (undamaged) configuration. Examples of such models are those of Yazdani and Schreyer [7], Lee and Fenves [8], Shen et al [9], Contrafatto and Cuomo [10], Voyiadjis and Taqieddin [11], Taqieddin and Voyiadjis [12], just to mention a few. These models are superior as they exclude the shortcomings of the ED models mentioned earlier.…”

Section: Introductionmentioning

confidence: 99%

“…Some researchers proposed different damage rules to characterize damage in the deviatoric and volumetric modes of the response ( [25,26]; just to mention a few), whereas others applied a hydrostatic stress/strain reduction factor to their constitutive models ( [4,11]; and others).…”

Section: Introductionmentioning

confidence: 99%

“…For the full derivations of these models, their numerical integration techniques, and their applications and outcomes, the reader is referred to the already published works of Tao and Phillips [4], Voyiadjis and Taqieddin [11], and Taqieddin and Voyiadjis [12].…”

Section: Introductionmentioning

confidence: 99%

“…One of these models is the ED model proposed by Tao and Phillips [4], whereas the other is the uncoupled EPD model proposed by Voyiadjis and Taqieddin [11]. These two models were selected for comparison because both of them defined the hydrostatic stress/strain reduction factor in terms of the same thermodynamic internal state variables.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Studying the effect of a hydrostatic stress/strain reduction factor on damage mechanics of concrete materials

Taqieddin

Voyiadjis

2013

Journal of the Mechanical Behavior of Materials

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In the non-linear finite element analysis (NFEA) of concrete materials, continuum damage mechanics (CDM) provides a powerful framework for the derivation of constitutive models capable of describing the mechanical behavior of such materials. The internal state variables of CDM can be introduced to the elastic analysis of concrete to form elastic-damage models (no inelastic strains), or to the elastic-plastic analysis in order to form coupled/ uncoupled elastic-plastic-damage models. Experimental evidence that is well documented in literature shows that the susceptibility of concrete to damage and failure is distinguished under deviatoric loading from that corresponding to hydrostatic loading. A reduction factor is usually introduced into a CDM model to reduce the susceptibility of concrete to hydrostatic stresses/strains. In this work, the effect of a hydrostatic stress/strain reduction factor on the performances of two NFEA concrete models will be studied. These two (independently published) models did not provide any results showing such effect. One of these two models is an elastic-damage model, whereas the other is an uncoupled elastic-plastic-damage model. Simulations and comparisons are carried out between the performances of the two models under uniaxial tensile and compressive loading conditions. Simulations are also provided for the uncoupled elastic-plastic-damage model under the following additional loading conditions: biaxial tension and biaxial compression, uniaxial cyclic loading, and varying ratios of triaxial compressive loadings. These simulations clearly show the effect of the reduction factor on the numerically depicted behaviors of concrete materials. To have rational comparisons, the hydrostatic stress reduction factor applied to each model is chosen to be a function of the internal state variables common to both models. Therefore, once the two models are calibrated to simulate the experimental behaviors, their corresponding reduction factors are readily available at every increment of the iterative NFEA procedures.

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Section: Uncoupled Epd Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Studying the effect of a hydrostatic stress/strain reduction factor on damage mechanics of concrete materials

Taqieddin

Voyiadjis

2013

Journal of the Mechanical Behavior of Materials

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High temperature creep and embrittlement in metals and alloys under conditions of the long-term usage

Saitova,

Arutyunyan,

Altenbach

2024

Acta Mech

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Development and Numerical Implementation of an Anisotropic Continuum Damage Model for Concrete

Hartikainen

Kolari

Kouhia

2016

KEM

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In this paper, a thermodynamic formulation for modelling anisotropic damage of elastic-brittle materials based on Ottosen's 4-parameter failure surface is proposed. The model is developed by using proper expressions for Gibb's free energy and the complementary form of the dissipation potential. The formulation predicts the basic characteristic behaviour of concrete well and results ina realistic shape for the damage surface.

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Use of Fabric Tensors in Continuum Damage Mechanics of Solids with Micro-cracks

Cited by 3 publications

References 28 publications

Studying the effect of a hydrostatic stress/strain reduction factor on damage mechanics of concrete materials

Studying the effect of a hydrostatic stress/strain reduction factor on damage mechanics of concrete materials

High temperature creep and embrittlement in metals and alloys under conditions of the long-term usage

Development and Numerical Implementation of an Anisotropic Continuum Damage Model for Concrete

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