A Comparative Study of Damage Variables in Continuum Damage Mechanics

Voyiadjis, George Z.; Kattan, Peter I.

doi:10.1177/1056789508097546

Cited by 149 publications

(88 citation statements)

References 34 publications

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“…Interactions between damage and plastic hardening are rather difficult to consider and could be introduced into the plastic potential, as reported in [18,19,27]. The effect becomes more significant with increasing ductility of the material behavior.…”

Section: Thermodynamics Frameworkmentioning

confidence: 95%

“…This kind of damage was known in brittle materials, such as concrete, rocks etc. [17,18]. For the sintered metal the evolution in elastic region is plotted in Figure 10 the figure one learns that the damage initiation under uniaxial loading is characterized by the normal stress amplitude, almost independent of the stress triaxiality.…”

Section: Elastic Damage Evolutionmentioning

confidence: 99%

“…In the continuum damage mechanics (CDM) model a macroscopic damage indicator as an internal variable is used to represent the microdefects in the material. The kinetic evolution law of damage is derived with specified potential function within the thermodynamics framework based on the effective stress concept and the strain equivalence hypothesis or the strain energy equivalence hypothesis [16][17][18]. With the development of CDM, the damage variable is extended from scalar variable to tensor variable to describe the damage of material more generally due to the anisotropy of micro-defects [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Continuum damage mechanics for sintered powder metals

Yuan

Zhang³

2014

Sci. China Phys. Mech. Astron.

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Sintered metals are characterized by the high porosity ( 8%) and voids/micro-cracks in microns. Inelastic behavior of the materials is coupled with micro-crack propagation and coalescence of open voids. In the present work the damage evolution of the sintered iron under multi-axial monotonic loading conditions was investigated experimentally and computationally. The tests indicated that damage of the sintered iron initiated already at a stress level much lower than the macroscopic yield stress. The damage process can be divided into the stress-dominated elastic damage and the plastic damage described by the plastic strain. Based on the uniaxial tensile tests an elastic-plastic continuum damage model was developed which predicts both elastic damage and plastic damage in the sintered iron under general multi-axial monotonic loading conditions. Computational predictions agree with experiments with different multi-axial loading paths. A phenomenological continuum damage model for the sintered metal is developed based on the experimental observations to predict the inelastic behavior and damage process to failure under multi-axial loading conditions. The proposed damage model is experimentally verified under different loading conditions. sintered metal, porous material, damage evolution, multi-axial damage, continuum damage model PACS number(s): 46.35.+q, 46.50.+a, 81.20.Ev, 81.40.Lm Citation:Yuan H, Ma S Y, Zhang L. Continuum damage mechanics for sintered powder metals.

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Section: Thermodynamics Frameworkmentioning

confidence: 95%

Section: Elastic Damage Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Continuum damage mechanics for sintered powder metals

Yuan

Zhang³

2014

Sci. China Phys. Mech. Astron.

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“…In fact the measurement of the degradation of the mechanical elastic response is one of the most used methodologies to experimentally quantify the evolution of damage during a deformation step. Recently Voyiadjis and Kattan [5] studied the possible influence of damage on Poisson's ratio. This item has a particular importance on the experimental investigation of damage performed with torsion tests, because the damage is calculated from the Young's modulus which depends on both the elastic tangential modulus (G) and the Poisson's coefficient.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of the Effect of Triaxiality Ratio on the Formability Limit Diagram and Ductile Damage Evolution in Steel and High Purity Copper

Chiantoni¹,

Bonora

Ruggiero

2010

Int J Mater Form

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In this contribution, the effect of the stress state (by mean of the triaxiality ratio) on the equivalent plastic strain at fracture is experimentally investigated for different steels and high purity copper in the range of triaxiality from 0 (pure torsion) up to 1.2. This range of stress state is particularly meaningful for the majority of the mechanical applications. The prediction on the formability limit diagram for proportional loading paths (i.e. with constant triaxiality) is verified in the framework of Continuum Damage Mechanics (CDM) using the LemaitreChaboche's damage model. Furthermore the influence on triaxiality on the threshold plastic strain for damage initiation and for the critical damage at rupture is experimentally studied. The results are compared with the prediction of the aforementioned damage model. A very good agreement between experimental results and CDM prediction is achieved.

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“…This development was followed by Rabotnov (1969) and by Voyiadjis (2001a, 2001b), Ladeveze and Lemaitre (1984), Voyiadjis and Kattan (2005, 2006, 2009 later. In the framework of continuum damage mechanics, a scalar damage variable ' is introduced that has values in the range 0 ' 1.…”

Section: Introductionmentioning

confidence: 99%

Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework

Voyiadjis

Kattan

2016

International Journal of Damage Mechanics

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In this work several new and fundamental concepts are proposed within the framework of continuum damage mechanics. These concepts deal primarily with the nature of the two processes of damage and healing along with introducing a consistent and systematic definition for the concepts of damageability and integrity of materials. Toward this end, seven sections are presented as follows: ''The logarithmic damage variable'' section introduces the logarithmic and exponential damage variables and makes comparisons with the classical damage variable. In ''Integrity and damageability of materials'' section a new formulation for damage mechanics is presented in which the two angles of damage-integrity and healing-damageability are introduced. It is shown that both the damage variable and the integrity variable can be derived from the damage-integrity angle while the healing variable and damageability variable are derived from the healing-damageability angle. ''The integrity field'' section introduces the new concept of the integrity field while ''The healing field'' section introduces the new concept of the healing field. These two fields are introduced as a generalization of the classical concepts of damage and integrity. ''Unhealable damage and nondamageable integrity'' section introduces the new and necessary concept of unrecoverable damage or unhealable damage. In this section the concept of permanent integrity or nondamageable integrity is also presented. In ''Generalized nonlinear healing'' section generalized healing is presented where a distinction is clearly made between linear healing and nonlinear healing. As an example of nonlinear healing the equations of quadratic healing are derived. Finally in ''Dissection of the healing process'' section a complete and logical/mathematical dissection is made of the healing process. It is hoped that these new and fundamental concepts will pave the way for new, consistent, and holistic avenues in research in damage mechanics and characterization of materials.

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A Comparative Study of Damage Variables in Continuum Damage Mechanics

Cited by 149 publications

References 34 publications

Continuum damage mechanics for sintered powder metals

Continuum damage mechanics for sintered powder metals

Experimental Study of the Effect of Triaxiality Ratio on the Formability Limit Diagram and Ductile Damage Evolution in Steel and High Purity Copper

Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework

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