A plasticity-damage theory for large deformation of solids—I. Theoretical formulation

Voyiadjis, George Z.; Kattan, Peter I.

doi:10.1016/0020-7225(92)90059-p

Cited by 259 publications

(75 citation statements)

References 31 publications

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“…Material and process parameters generate a post-processed strain history using FLDs, while the material damage is an approach based on a particular stress or strain field histories acting in a material continuum. Damage is characterized in continuum mechanical models by a specific damage variable evolving until a limit is reached at the onset of crack formation (Lemaitre, 1985;Chow and Wang, 1987;Voyiadjis and Kattan, 1992;Brünig, 2003). Another fundamental difference between these approaches is that during damage development, the microscopic scale is not negligible, so the analysis should permanently be regarded as material dependent and needs to model the microstructure evolution (Garrison and Moody, 1987).…”

Section: Damage and Fracture Predictionmentioning

confidence: 99%

Damage prediction in single point incremental forming using an extended Gurson model

Guzmán

Yuan

Duchêne

et al. 2018

International Journal of Solids and Structures

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Single point incremental forming (SPIF) has several advantages over traditional forming, such as the high formability attainable by the material. Different hypotheses have been proposed to explain this behavior, but there is still no straightforward relation between the particular stress and strain state induced by SPIF and the material degradation leading to localization and fracture. A systematic review of the state of the art about formability and damage in SPIF is presented and an extended Gurson-TvergaardNeedleman (GTN) model was applied to predict damage in SPIF through finite element (FE) simulations. The line test was used to validate the simulations by comparing force and shape predictions with experimental results. To analyze the failure prediction, several simulations of SPIF cones at different wall angles were performed. It is concluded that the GTN model underestimates the failure angle on SPIF due to wrong coalescence modeling. A physically-based Thomason coalescence criterion was then used leading to an improvement on the results by delaying the onset of coalescence.

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Section: Damage and Fracture Predictionmentioning

confidence: 99%

Damage prediction in single point incremental forming using an extended Gurson model

Guzmán

Yuan

Duchêne

et al. 2018

International Journal of Solids and Structures

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“…(42) _FEquation (50) is the same with Eq. (19). AMmnkl and AFmnkl are the homogenized damaged elastic concentration factor for matrix and fiber, respectively, and they are determined by the homogenization procedure.…”

Section: The Theory Of Homogenization Methodsmentioning

confidence: 99%

“…The local (matrix and fiber) damage tensors are given by Voyiadjis and Kattan as follows [19]: It should be noted that there is no change in the phase volume fractions is assumed in Eq. (19).…”

Section: Anisotropicmentioning

confidence: 99%

A Homogenization Procedure for the Numerical Simulation of Mechanical Behavior of CFCC by Considering the Overall and Local Anisotropic Damage

Luo

Takezono

2004

Journal of the Society of Materials Science, Japan

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An anisotropic damage constitutive model was presented to characterize mechanical behavior of continuous fiber-reinforced ceramic matrix composites (CFCC) with two-scale damage. An overall fourth-rank damage effect tensor was introduced to account for the overall damage of the composite system. In addition, two local (matrix and fiber) fourth-rank damage effect tensors were introduced to account for the local effects of damage experienced by both the matrix and fibers. The overall and local damage tensors were correlated together using homogenization procedure. In terms of the homogenization methods, the effective elastic properties were obtained, and the stress and strain concentration factors were derived for damaged composites. The model was applied in detail to the unidirectional laminate that was subjected to uni-axial tension. The results were compared well with experimental data. The effects of important parameters such as the fiber volume fraction and the damage material parameters on the nonlinear behavior of the composites were investigated. The model provided a useful tool for understanding the overall dependence of stress-strain behavior on all the underlying constituent material properties.

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“…The hypothesis of equivalent elastic energy is used to evaluate M ijkl and establish a relation between the damaged and undamaged stiffnesses [50,51]. The hypothesis, detailed in [52,53], specifically assumes that the elastic complimentary energy W C in a damaged material with the actual stress is equal to that in a hypothetical undamaged material with the fictitious effective stress, i.e.,…”

Section: Homogenization-based Continuum Damage Mechanics Modelmentioning

confidence: 99%

Foundational aspects of a multi-scale modeling framework for composite materials

Ghosh

2015

Integr Mater Manuf Innov

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The objective of this paper is to provide an integrated computational materials science and engineering or ICMSE perspective on various aspects governing multi-scale analysis of composite materials. These include microstructural characterization, micromechanical analysis of microstructural regions, and bridging length scales through hierarchical modeling. The paper discusses methods of identifying representative volume elements or RVEs in the material microstructure using both morphology-and micromechanics-based methods. For microstructures with nonuniform distributions, a statistically equivalent RVE or SERVE is identified for developing homogenized properties under undamaged and damaging conditions. A particularly novel development is the introduction of SERVE boundary conditions based on the statistical distribution of heterogeneities in the domain exterior to the SERVE. A micromechanical model of the SERVE incorporating explicit damage mechanisms like interfacial debonding, and fiber and matrix damage is developed for crack propagation. Finally, a microstructural homogenization-based continuum damage mechanics (HCDM) model is developed that accounts for the microstructural distributions as well as the evolution of damage. The HCDM model-based simulations are able to provide both macroscopic and microscopic information on evolving damage and failure.

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A plasticity-damage theory for large deformation of solids—I. Theoretical formulation

Cited by 259 publications

References 31 publications

Damage prediction in single point incremental forming using an extended Gurson model

Damage prediction in single point incremental forming using an extended Gurson model

A Homogenization Procedure for the Numerical Simulation of Mechanical Behavior of CFCC by Considering the Overall and Local Anisotropic Damage

Foundational aspects of a multi-scale modeling framework for composite materials

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