Micromechanically Inspired Phenomenological Damage Model

Krajčinović, Dušan; Basista, Michał; Sumarac, Dragoslav

doi:10.1115/1.2897186

Cited by 57 publications

(30 citation statements)

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“…[7]). Ollly the change il ~liíTm;~~ (or compliance) can be unambiguously identified as a measure of damage, which is closely related to the loss in effective load-carrying area of a representative volume element (RVE).…”

Section: Characterization Of Anisotropic Damagementioning

confidence: 93%

“…Assuming uncoupled elasticity and plasticity or that the elastic properties depend on damage variables but not on plastic strain Ep, it is then possible to show that the ClausiusDuhem inequality can be separated into two parts [1] One notices that the introduction of the damage dissipative potential or damage surface is analogous to the conventional yield surface which envelopes all possible changes of state in the space of affinities that can be reached without causing any new damage development. If the rate of increase in the surface area of a particular microcrack is controlled only by its own conjugate thermodynamic force, the macropotential cJ> can be obtained as summation of all conjugate forces (or micropotentials) (for a more detailed discussion, see Rice [19] and Krajcinovic et al [7]). That a damage surface exists in brittle materials such as concrete and rocks has been proven by Holcomb and Costin [20] using the acoustic emission technique so that during the loading stage following unloading, no acoustic emissions will be recorded until the damage surface is reached.…”

Section: Damage Criterionmentioning

confidence: 99%

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Analysis of Failure Properties and Strength of Structural Adhesive Joints with Damage Mechanics

Chow

1992

International Journal of Damage Mechanics

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The present paper deals with the strength and failure properties of adhesive joints weakened by initial imperfections such as flaws or debonding of the interface. The problem is analyzed by applying the principles of the newly developed damage mechanics with suitable modifications made to accommodate the inherent physical and mechanical properties of structural adhesives. The reduction in effective load-carrying area due to damage accumulation is represented by a symmetric damage tensor of second rank that is related to the decrease of elastic modulus via a hypothesis of energy equivalence. Damage evolution is assumed to be controlled by the dilatational part of total energy. The model is then implemented onto a finite element program by using the updated Lagrangian formulation. A butt adhesive joint weakened by a central crack in the adhesive is subsequently analyzed to demonstrate the potential capability of the damage model. Detailed stress and damage distributions in the near and far fields are given as functions of adherend/adhesive modulus ratio. The issue of fracture initiation angle and fracture load is also studied by applying two novel damage fracture criteria.

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Section: Characterization Of Anisotropic Damagementioning

confidence: 93%

Section: Damage Criterionmentioning

confidence: 99%

Analysis of Failure Properties and Strength of Structural Adhesive Joints with Damage Mechanics

Chow

1992

International Journal of Damage Mechanics

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“…Quasi-brittle materials such as concrete, rock, and ceramic composites, exhibit a complex mechanical behavior at the macro-scale, including stress-induced damage and stiffness anisotropy, non-linear stress/strain relationships and volumetric dilation, unilateral effects due to crack closure, and a transition from brittle to ductile behavior at increasing confining stress [Chiarelli et al, 2003, Krajcinovic et al, 1991. All of these effects can be explained by the nucleation and propagation of micro-cracks at the grain boundaries and/or from pore spaces.…”

Section: Anisotropic Damage Criteriamentioning

confidence: 99%

Micro-macro mechanics of damage and healing in rocks

Arson¹

2020

Open Geomechanics

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This paper presents the state of the art of the theory of rock damage and healing mechanics, with a particular emphasis on the strategies available to relate the micro-scale of crystals, cracks and pores to the scale of a Representative Elementary Volume (REV). We focus on mechanical degradation and recovery of stiffness and strength. Damage and healing models formulated in the author's group are used as examples to illustrate and compare the reviewed micromacro approaches, which include fabric enrichment, micromechanical formulations and homogenization schemes. This manuscript was written for doctoral students or researchers relatively new to the field of damage mechanics of geomaterials. Equations are provided to explain how to formulate a thermodynamically consistent model from scratch. Reviewing damage and healing modeling strategies led to the following conclusions: (i) The framework of hyperplasticity, which does not require any postulate on the existence or uniqueness of yield functions and which automatically ensures thermodynamic consistency, was never applied to Continuum Damage Mechanics (CDM). There may be an avenue to improve state-of-the-art damage and healing models in a similar framework of "hyperdamage mechanics". (ii) In damage softening models, the mesh dependence of the width of the damage localization zone is currently alleviated by non-local regularization. Perhaps the next step is to couple micro-macro damage and healing models at the REV scale to discrete fracture mechanics at a larger scale to understand how damage and healing localization occurs. (iii) There may be an opportunity to use fabric-enriched models to capture the effect of microstructure organization on both mechanical properties and permeability. (iv) Coupling chemomechanical damage and healing processes across the scales would be useful to model the competition between damagre and healing whenever both can occur at the same temperature and pressure conditions. (v) Many challenges still exist to implement healing models in the Finite Element Method, especially in regards to the mapping of net damage.

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“…Rice 1971Rice , 1975Hill and Rice 1973;Simo andJu 1987, Duszek andPerzyna 1994). A very promising step was taken by Krajcinovic et al (1991) for the case of brittle material response.…”

Section: Introductionmentioning

confidence: 99%