Continuum Damage Models based on Energy Equivalence: Part II — Anisotropic Material Response

Grammenoudis, P.; Reckwerth, Dirk; Tsakmakis, Ch.

doi:10.1177/1056789508090467

Cited by 18 publications

(16 citation statements)

References 15 publications

(21 reference statements)

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“…[6], where Xc is essentially a damage criterion function proposed by Hayhurst [11] X,(T) := aj^ + (tr T) + ( 1 -a, -ß,) y -T…”

Section: Modeiing Of Damage Effectsmentioning

confidence: 99%

“…[5,6]. As opposed to other continuum damage theories, in this approach, the yield function for the real material is generally not assumed to be known or to be established from that for the undamaged material, by expressing the latter in terms of effective stresses only.…”

Section: Introductionmentioning

confidence: 99%

“…Throughout this paper, we concentrate on small deformations and we use the same nomenclature as in Refs. [5,6]. The undamaged, fictitious material is supposed to be governed by the following system of viscoplastic constitutive equations: …”

Section: Introductionmentioning

confidence: 99%

“…The resulting constitutive model has been employed in Ref. [6] to calculate stress distributions for a single-crystal superalloy subject to complex axial loading histories. Comparison with experimental data demonstrated the capabilities of the model to predict such loading histories adequately.…”

Section: Introductionmentioning

confidence: 99%

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Use of a Continuum Damage Model Based on Energy Equivalence to Predict the Response of a Single-Crystal Superalloy

Grammenoudis

Reckwerth

Tsakmakis

2011

Journal of Engineering Materials and Technology

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Anisotropie viscoplasticity coupled with anisotrvpic damage has been modeled in previous works by using the energy equivalence principle appropriately adjusted. Isotropie and kinematic hardenings are present in the viscoplastic part of the model and the evolution equations for the hardening variables incorporate both static and dynamic recovery terms. The main difference to other approaches consists in the formulation of the energy equivalence principle for the plastic stress power and the rate of hardening energy stored in the material. As a practical consequence, a yield function has been established, which depends, besides effective stress variables, on specific functions of damage. The present paper addresses the capabilities of the model in predicting responses of deformation processes with complex specimen geometry. In particular, multiple notched circular specimens and plates with multiple holes under cyclic loading conditions are considered. Comparison of predicted responses with experimental results confirms the convenience of the proposed theory for describing anisotropic damage effects.

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“…[6], where Xc is essentially a damage criterion function proposed by Hayhurst [11] X,(T) := aj^ + (tr T) + ( 1 -a, -ß,) y -T…”

Section: Modeiing Of Damage Effectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Use of a Continuum Damage Model Based on Energy Equivalence to Predict the Response of a Single-Crystal Superalloy

Grammenoudis

Reckwerth

Tsakmakis

2011

Journal of Engineering Materials and Technology

Self Cite

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“…An overview of some predictive models was given by Fatemi and Yang [17] and Schijve [18], with interesting discussions on influencing factors. Some models are based on energy equivalence [19][20][21][22]. Continuum Damage Mechanics (CDM) has provided an efficient nonlinear cumulative damage rule proposed by Rabotnov [8] and later developed by Chaboche [9].…”

Section: Introductionmentioning

confidence: 99%

A modified nonlinear fatigue damage accumulation model under multiaxial variable amplitude loading

Benkabouche

Guechichi

Amrouche

et al. 2015

International Journal of Mechanical Sciences

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Anisotropic damage coupled modeling of saturated porous rock

Shao

2010

Sci. China Technol. Sci.

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It is widely acknowledged that the natural rock mass is anisotropic and its failing type is also non-isotropic. An orthotropic elastic damaged model has been proposed in which the elastic deformation, the damaged deformation and irreversible deformation can be identified respectively. A second rank damage tensor is employed to characterize the induced damage and damage evolution related to the propagation conditions of microcracks. A specific form of the Gibbs free energy function is used to obtain the effective elastic stiffness and the limited scopes of damage parameters are suggested. The model's parameter determination is proposed by virtue of conventional tri-axial test. Then, the proposed model is developed to simulate the coupled hydraulic mechanical responses and traction behaviors in different loading paths of porous media.anisotropy, damage modeling, saturated rock, tensile failure Citation:Lu Y F, Wu X X, Shao J F. Anisotropic damage coupled modeling of saturated porous rock.Rock geo-materials exhibit a rich series of complex behaviors. Despite many researchers have studied the fundamental mechanical comportments of brittle rock for a long time, it still remains a challenge, particularly the anisotropic porous medium. The main consequences of saturated and drained tests can be summarized as follows: 1) deterioration of elastic properties and non-linearity of stressstrain relation; 2) induced material anisotropy and significant volume dilatation; 3) irreversible deformation, etc. The fundamental characteristics of injection and nondrained experiments can also be listed as follows: 1) reduction of initial maximum linear deformation and of failure peak stress; 2) more increment of radial deformation and volume dilatancy; 3) variation of volume compressive modulus; 4) strength change under different loading type, etc.The above fundamental features have to be taken into consideration in constructing constitutive models of geomaterial like rock. The first problem to be solved is the estimation of effective elastic properties of the geo-materials with micro-cracks. The most widely-used averaging schemes are the statistical method [16], the homogenization technology [17], the self-consistent method [16] and the differential scheme [16]. The statistical method, the self-consistent method and the homogenization technology are suitable for the materials of arbitrary distribution of micro-cracks with feeble concentration. The homogenization technology works for not only the material described in the above but also the material with a periodic distribution.

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Continuum Damage Models based on Energy Equivalence: Part II — Anisotropic Material Response

Cited by 18 publications

References 15 publications

Use of a Continuum Damage Model Based on Energy Equivalence to Predict the Response of a Single-Crystal Superalloy

Use of a Continuum Damage Model Based on Energy Equivalence to Predict the Response of a Single-Crystal Superalloy

A modified nonlinear fatigue damage accumulation model under multiaxial variable amplitude loading

Anisotropic damage coupled modeling of saturated porous rock

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