Equivalent configurational stress to predict material yielding and crack propagation

Lv, Junnan; Li, Qun

doi:10.1007/s00707-016-1665-7

Cited by 7 publications

(4 citation statements)

References 14 publications

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“…This approach is more flexible in that it can be used to determine the progressive evolution of a shear band, similar to the method used for simulating crack propagation in engineering materials based on the Eshelby stress and configurational forces. [9][10][11][12]…”

Section: F I G U R Ementioning

confidence: 99%

“…In other words, the approach based on the concept of dissipative (configurational) driving force together with the consideration of plastic energy dissipation provides a different method for the analysis of shear band formation. This approach is more flexible in that it can be used to determine the progressive evolution of a shear band, similar to the method used for simulating crack propagation in engineering materials based on the Eshelby stress and configurational forces 9–12 …”

Section: Shear Band Analysismentioning

confidence: 99%

“…[1][2][3][4] The theory of configurational (or material) forces based on the Eshelby stress tensor (also called the energy-momentum tensor) has provided a general and efficient way within the framework of continuum mechanics to deal with problems related to defects, inclusions and inhomogeneities in branches of material science and engineering. For example, configurational forces have been used to describe inelastic effects such as elasto-plasticity, [5][6][7][8] fracture propagation, [9][10][11][12] damage and fatigue in engineering materials, [13][14][15][16] surface migration and growth in homogeneous medium, [17][18][19][20] volumetric and void growth, 5,15,20,21 shear strain localization, 22,23 as well as other phenomena. 24,25 In these problems, the Eshelby stress is considered to be at the very root of the motion of the material defects and inhomogeneities.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of dilatancy relation and shear‐band formation in granular materials based on Eshelby‐Mandel tensor

Guo

Zhou

Stolle

2023

Num Anal Meth Geomechanics

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The theory of configurational or material forces based on the Eshelby stress tensor (also called energy-momentum tensor) has provided a general and efficient way to describe the motion of material defects and other inhomogeneities within the framework of continuum mechanics. In this paper, we explore how to use the configurational forces to describe the behavior of homogeneous granular materials by considering the material characteristics on both continuum and discrete particle levels. In particular, dissipative driving forces based on the Eshelby-Mandel stress tensor are utilized as the driving force of the configuration variations in the form of shear-induced volume change. The energy dissipation induced by the relative sliding at particle contacts is considered in the configurational forces. To characterize the dilation of a homogeneous granular material with uniform deformation, a virtual plane is introduced to facilitate the analysis and to derive the dilatancy formulation. With the consideration of the shear-band geometry and the requirement of configurational force equilibrium across the boundary of a shear-band, the condition for the onset of a shear band is derived. For granular specimens subjected to biaxial compression, the analyses recover the well-known Rowe's dilatancy formulation and yield the shear-band orientation identical to that obtained from the classical bifurcation analysis within the framework of elasto-plasticity.

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Section: F I G U R Ementioning

confidence: 99%

Section: Shear Band Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of dilatancy relation and shear‐band formation in granular materials based on Eshelby‐Mandel tensor

Guo

Zhou

Stolle

2023

Num Anal Meth Geomechanics

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“…42 Therefore, the configurational force approach is widely used to study the failures of elastic, elastic-plastic, and damage materials. [43][44][45][46][47][48] Based on the local Eshelby tensor properties indicated by Kienzler and Herrmann, 49,50 Lv and Li 51 proposed a new fracture model to explain the plastic yielding and crack propagation of material. It is proven that the configurational force method and EIM can solve the damage and fracture problems of concrete materials.…”

Section: Introductionmentioning

confidence: 99%

Fracture criteria and initiation mechanism of concrete based on material configurational mechanics

Wang,

Feng

2024

Fatigue Fract Eng Mat Struct

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In this study, the interaction force between an in‐plane elliptical inclusion and a crack is evaluated using the Eshelby equivalent inclusion and material configurational force method. The toughening effect of coarse aggregates on concrete is investigated. The fracture criteria for mixed‐mode cracks based on the characteristics of the crack‐tip plastic zone assessed by the principal configurational stress difference are proposed and verified by experimental results in the literature. The fracture probability is then used to improve the fracture criteria, and the dimensionless factor associated with stress intensity factors is introduced to determine the fracture probability. Additionally, the volume fraction of coarse aggregates, the age and fatigue life of concrete are considered in the present fracture criteria. Theoretical studies show that the interaction between a crack and a hard or soft inclusion exhibits mutual repulsion and attraction. The size and shape of the crack‐tip plastic zones assessed by the Mises stress and the principal configurational stress difference are essentially the same. The fracture load envelopes increase with the increase in the volume fraction of coarse aggregates and the age of concrete and shrink with the increase in the life ratio.

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Fracture criteria and rheological fracture mechanism of brittle materials based on Eshelby stress

Wang,

Feng

2024

Acta Mech

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Equivalent configurational stress to predict material yielding and crack propagation

Cited by 7 publications

References 14 publications

Analysis of dilatancy relation and shear‐band formation in granular materials based on Eshelby‐Mandel tensor

Analysis of dilatancy relation and shear‐band formation in granular materials based on Eshelby‐Mandel tensor

Fracture criteria and initiation mechanism of concrete based on material configurational mechanics

Fracture criteria and rheological fracture mechanism of brittle materials based on Eshelby stress

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