Some fundamental issues of damage mechanics

Krajčinović, Dušan; Mastilović, Sreten

doi:10.1016/0167-6636(95)00010-0

Cited by 74 publications

(41 citation statements)

References 28 publications

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“…(i) It avoids the "mixed" terms K and K (or M and M in dynamics), (19), facilitating the implementation.…”

Section: Phantom Nodementioning

confidence: 99%

“…This softening can be explained by damage mechanics due to the initiation, growth, and coalescences of microcracks that reduce the effective cross-sectional area, Figure 2. For more details, the reader is referred to numerous articles and books on damage mechanics [13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The use of strain-softening material models leads to an ill-posed boundary value problem (BVP) [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

159

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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“…(i) It avoids the "mixed" terms K and K (or M and M in dynamics), (19), facilitating the implementation.…”

Section: Phantom Nodementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

159

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“…However, the use of a simple scalar representation of damage has been criticized since it fails to indicate the directional nature of the damage associated with microcracks in the more brittle materials, e.g. Krajcinovic and Mastilovic (1995). Second and fourth order tensors are therefore recommended for that purpose particularly for the determination of the anisotropic effective moduli influenced by damage.…”

Section: Introductionmentioning

confidence: 99%

Treatment of anisotropic damage development within a scalar damage formulation

Chan

Bodner

Munson

1997

Computational Mechanics

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ribing a damage m-chanic n which provides for non-isotropic effects using a scalar damage variable. An investigation has been in progress for establishing the constitutive behavior of rock salt at long times and low to moderate confining pressures in relation to the possible use of excavated room in rock salt formations as repositories for nuclear waste. An important consideration is the effect of damage manifested orientation. The analytical formulation utilizes a scalar damage parameter, but is capable of indicating the non-isotropic dependence of inelastic straining on the stress state and the confining pressure. Also, the equations indicate the possibility of volumetric expansions leading to the onset of tertiary creep and eventually rupture if the damage variable reaches a critical value.principally by the formation of shear induced wing cracks which have a stress dependent -formul ati ##

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“…This damage mechanism is then experimentally quantified by micrographic analysis and correlated to a macroscopic damage parameter D macro , (Figure 4-b) through the developed micromechanical model. The D macro is defined using the well-known damage mechanics theory [16,17] and expressed such as (Eq. 5):…”

Section: Experimental Approach and Tests Datamentioning

confidence: 99%