Continuum Damage Models based on Energy Equivalence: Part I — Isotropic Material Response

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

doi:10.1177/1056789508090466

Cited by 33 publications

(20 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…However, in contrast to the framework in [13], not only effective C stresses but also effective hardening stresses are considered, cf. [7]. For the brittle damage accumulation, a novel damage indicator function is introduced which depends also on the energy release rate and thus, on the elasto-plastic strain accumulation.…”

Section: Cdm Materials Modelingmentioning

confidence: 99%

A novel isotropic quasi-brittle damage model applied to LCF analyses of Al2024

Kintzel¹,

Khan²,

Mosler³

2010

International Journal of Fatigue

View full text Add to dashboard Cite

The current paper deals with the assessment and the numerical simulation of low cycle fatigue of an aluminum 2024 alloy. According to experimental observations, the material response of Al2024 is highly direction-dependent showing a material behavior between ductile and brittle. In particular, in its corresponding (small transversal) S-direction, the material behavior can be characterized as quasi-brittle. For the modeling of such a mechanical response, a novel, fully coupled isotropic ductile-brittle continuum damage mechanics model is proposed. Since the resulting model shows a large number of material parameters, an efficient, hybrid parameter identification strategy is discussed. Within this strategy, as many parameters as possible have been determined a priori by exploiting analogies to established theories (like P' law), while the remaining free unknowns are computed by solving an optimization problem. Comparisons between the experimentally observed and the numerically simulated lifetimes reveal the prediction capability of the proposed model.

show abstract

Section: Cdm Materials Modelingmentioning

confidence: 99%

A novel isotropic quasi-brittle damage model applied to LCF analyses of Al2024

Kintzel¹,

Khan²,

Mosler³

2010

International Journal of Fatigue

View full text Add to dashboard Cite

show abstract

“…Various other theories and models have been developed in order to predict the fatigue life of loaded structures [11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

A Review on Fatigue Life Prediction Methods for Metals

Santecchia

Hamouda

Musharavati

et al. 2016

Advances in Materials Science and Engineering

227

View full text Add to dashboard Cite

Metallic materials are extensively used in engineering structures and fatigue failure is one of the most common failure modes of metal structures. Fatigue phenomena occur when a material is subjected to fluctuating stresses and strains, which lead to failure due to damage accumulation. Different methods, including the Palmgren-Miner linear damage rule- (LDR-) based, multiaxial and variable amplitude loading, stochastic-based, energy-based, and continuum damage mechanics methods, forecast fatigue life. This paper reviews fatigue life prediction techniques for metallic materials. An ideal fatigue life prediction model should include the main features of those already established methods, and its implementation in simulation systems could help engineers and scientists in different applications. In conclusion, LDR-based, multiaxial and variable amplitude loading, stochastic-based, continuum damage mechanics, and energy-based methods are easy, realistic, microstructure dependent, well timed, and damage connected, respectively, for the ideal prediction model.

show abstract

“…For the anisotropic material, the relationship between stress and strains can be written in the form as follows 11 1111 .…”

Section: Determination Of Limited Scope Of Parametersmentioning

confidence: 99%

“…The following presents the theoretical analyses for initial anisotropic porous media. Since the macroscopic poroelastic constants can be deduced from the microscopic properties of the constituents of the porous medium, and based on the deformation of the saturated porous medium on a microscopic scale in the appropriate representative elementary volume (REV), the total volume (V V ) of REV composed of the solid material volume (V m ) and the porous volume (V p ), the results of a stress path 11 22 33…”

Section: Presentation Of Theoretical Analysesmentioning

confidence: 99%

Anisotropic damage coupled modeling of saturated porous rock

Shao

2010

Sci. China Technol. Sci.

View full text Add to dashboard Cite

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.

show abstract

Continuum Damage Models based on Energy Equivalence: Part I — Isotropic Material Response

Cited by 33 publications

References 19 publications

A novel isotropic quasi-brittle damage model applied to LCF analyses of Al2024

A novel isotropic quasi-brittle damage model applied to LCF analyses of Al2024

A Review on Fatigue Life Prediction Methods for Metals

Anisotropic damage coupled modeling of saturated porous rock

Contact Info

Product

Resources

About