Mechanical Modeling of Material Damage

Murakami, Sumio

doi:10.1115/1.3173673

Cited by 473 publications

(218 citation statements)

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“…similar to definitions by Onat and Leckie [24] and by Murakami [25]. Here, m°i (i= 1, …, 3) are the three principal damage tensor directions (defined similar to the m i ) and N i is the number of facets per unit volume normal to the ith principal direction (for the above mentioned regular truncated-octahedral grains N i = N).…”

Section: Damage Modelmentioning

confidence: 97%

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

Burg

Giessen

Tvergaard

1998

Materials Science and Engineering: A

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A continuum damage analysis of hydrogen attack in a 2.25Cr-1Mo pressure vessel Burg, M.W.D. van der; Giessen, E. van der; Tvergaard, V. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractA micromechanically based continuum damage model is presented to analyze the stress, temperature and hydrogen pressure dependent material degradation process termed hydrogen attack, inside a pressure vessel. Hydrogen attack (HA) is the damage process of grain boundary facets due to a chemical reaction of carbides with hydrogen, thus forming cavities with high pressure methane gas. Driven by the methane gas pressure, the cavities grow, while remote tensile stresses can significantly enhance the cavitation rate. The damage model gives the strain-rate and damage rate as a function of the temperature, hydrogen pressure and applied stresses. The model is applied to study HA in a vessel wall, where nonuniform distributions of hydrogen pressure, temperature and stresses result in a nonuniform damage distribution over the vessel wall. Stresses inside the vessel wall first tend to accelerate and later decelerate the cavitation rate significantly. Numerical studies for different material parameters and different stress conditions demonstrate the HA process inside a vessel in time. Also, the lifetime of the pressure vessel is determined. The analyses underline that the general applicability of the Nelson curve is questionable. © 1998 Elsevier Science S.A.

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Section: Damage Modelmentioning

confidence: 97%

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

Burg

Giessen

Tvergaard

1998

Materials Science and Engineering: A

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“…For a second-order damage tensor D ij , the damage effect tensor M ijkl in Equation (28) has been defined in [54] as:…”

Section: Hcdm Model In the Principal Damage Coordinate Systemmentioning

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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“…It is based on the representation of damage by a tensorial thermodynamic variable, here a second order tensor [Cordebois and Sidoroff, 1982, Ladevèze, 1983, Murakami, 1988. The chosen state potential is continuously differentiable, a key point to ensure 3D stresses-strains continuity even in a non proportional loading cases.…”

Section: Identification Of a Phenomenological Model 31 Anisotropic Dmentioning

confidence: 99%

“…A simple calculation of crack density in the material is no more sufficient when dealing with flow through a cracked wall, or with sliding dissipation under a cyclic loading: one needs to have access to crack orientation, crack opening. Considering phenomenological model for describing large scale structure behavior, two main kinds of approaches can be used to determine crack orientations: a fracture mechanics crack description using XFEM approach for example [Moes et al, 1999, Wells andSluys, 2000], or a tensorial damage mechanics description [Cordebois and Sidoroff, 1982, Murakami, 1988, Lemaitre and Desmorat, 2005, instead of a simpler scalar (isotropic) damage description. But the parameter identification of such models is often uneasy because of the lack of experimental results.…”

Section: Introductionmentioning

confidence: 99%

Tensile damage response from discrete element virtual testing

Delaplace

2009

Geomechanics and Geoengineering

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Depending on the loading conditions on brittle materials, damage can generally not be reduced to a simple scalar. Microcrack orientation affects the stiffness in a preferential direction perpendicular to the crack lips. Taking into account the damage anisotropy in phenomenological models is a possible option, but the identification of the corresponding models with respect to damage anisotropy is not an easy task, usually because of the limited number of experimental results. Handling and performing tensile experiments on damaged samples made of quasi-brittle heterogeneous material is quite delicate. Then, one can consider virtual testing for the identification of specific properties. We propose in the present work such a protocol, based on the use of discrete element models and codes as a virtual testing machine. Discrete models are based on a material description at the microscopic scale by an assembly of particles. Cracks (and cracks orientations) are naturally described by broken connections between particles. After a brief description of the chosen model, a cross-identification procedure is proposed for the determination of an hydrostatic sensitivity parameter of an anisotropic damage model. A second application deals with the description of the evolution of the strength envelope under different isotropic and anisotropic damage states. These examples show the interest of virtual testing by discrete modeling for material behavior characterization at fine scale.

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Mechanical Modeling of Material Damage

Cited by 473 publications

References 0 publications

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

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

Tensile damage response from discrete element virtual testing

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