An interacting micro-crack damage model for failure of brittle materials under compression

Paliwal, Bhasker; Ramesh, K.T.

doi:10.1016/j.jmps.2007.06.012

Cited by 252 publications

(195 citation statements)

References 40 publications

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“…One approach is to appeal to averaging schemes that determine elastic constants like the selfconsistent schemes [1]. Another approach is to calculate the continuum response of micro-crack filled brittle materials from the Gibbs free energy function [2][3][4][5][6][7][8][9]. Although these models account for the physical mechanisms associated with cracks, they lack a physical crack growth law and hence a physical representation of the evolving damage.…”

Section: Introductionmentioning

confidence: 99%

“…Rate effects are particularly important at high loading rates where crack growth lags the loading. We note here that [9] have attempted to model crack growth in this loading regime by solving for a crack-speed that ensures that the dynamic stress intensity factor of the crack always equals the fracture toughness. However their work did not account for the fact that the fracture toughness of the material is itself sensitive to loading rate.…”

Section: Introductionmentioning

confidence: 99%

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A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates

Bhat

Rosakis

Sammis

2012

Journal of Applied Mechanics

116

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. has been extended to allow for a more generalized stress state and to incorporate an experimentally motivated new crack growth (damage evolution) law that is valid over a wide range of loading rates. This law is sensitive to both the crack tip stress field and its time derivative. Incorporating this feature produces additional strain-rate sensitivity in the constitutive response. The model is also experimentally verified by predicting the failure strength of Dionysus-Pentelicon marble over strain rates ranging from $10 À 6 to 10 3 s À 1 . Model parameters determined from quasistatic experiments were used to predict the failure strength at higher loading rates. Agreement with experimental results was excellent.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates

Bhat

Rosakis

Sammis

2012

Journal of Applied Mechanics

116

View full text Add to dashboard Cite

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“…This approach is in the spirit of classic fragmentation theories by Grady 23,27 and Glenn and Chudnovsky, 28 who treated fragmentation as a balance between kinetic, fracture, and strain energies. More recent numerical simulations such as those developed by Zhou et al, 29 Paliwal and Ramesh, 30 and Levy and Molinari 31 have shown promise for predicting brittle fragmentation behavior, but generally require a level of understanding of material defects and mechanical response which is currently unavailable for the hierarchical freeze-cast structures we consider here.…”

Section: Fragmentation Resultsmentioning

confidence: 99%

Dynamic fragmentation of cellular, ice-templated alumina scaffolds

Tan

Cervantes

Nam

et al. 2016

Journal of Applied Physics

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We examine the dynamic failure of ice-templated freeze-cast alumina scaffolds that are being considered as biomimetic hierarchical structures. Three porosities of alumina freeze-cast structures were fabricated, and a systematic variation in microstructural properties such as lamellar width and thickness was observed with changing porosity. Dynamic impact tests were performed in a light-gas gun to examine the failure properties of these materials under high strain-rate loading. Nearly complete delamination was observed following impact, along with characteristic cracking across the lamellar width. Average fragment size decreases with increasing porosity, and a theoretical model was developed to explain this behavior based on microstructural changes. Using an energy balance between kinetic, strain, and surface energies within a single lamella, we are able to accurately predict the characteristic fragment size using only standard material properties of bulk alumina. V C 2016 AIP Publishing LLC. [http://dx

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“…When the shear stress along the joint face exceeds the friction, the rock mass will slide along the joint face. With the increase in compression, the wing cracks will begin to propagate from the joint tips at the direction of 70.5 • [26][27][28]; namely, the joints will propagate along the direction in which the tensile stress is maximum, as shown in Fig. 1.…”

Section: Sif Calculation Methods Of a Single Nonpersistently Closed Jomentioning

confidence: 99%

A Damage Constitutive Model for Rock Mass with Nonpersistently Closed Joints Under Uniaxial Compression

Liu

Zhang

2015

Arab J Sci Eng

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As part of the rock mass, both the macroscopic flaws such as joints and the mesoscopic flaws such as microcracks affect the strength and the deformational behavior of rock mass. Existing models can either handle any one of them alone, and a model which can consider the co-effect of these two kinds of flaws on rock mass mechanical behavior is not yet available. This study focusses on rock mass with nonpersistently closed joints and establishes a new damage constitutive model for it. Firstly, the damage model for the intact rock which contains only the mesoscopic flaws is introduced. Second, the expression of the macroscopic damage variable (tensor) which can consider the joint geometrical and mechanical properties at the same time is obtained based on the energy principle and fracture theory. Third, the damage variable based on coupling the macroscopic and mesoscopic flaws is deduced based on Lemaitre strain equivalence hypothesis, and then the corresponding damage constitutive model for rock mass with nonpersistently closed joints under uniaxial compression is set up. Finally, the test data for the intact rock under uniaxial compression are adopted to validate the proposed model. A series of calculation examples verify that the proposed model is capable of presenting the

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An interacting micro-crack damage model for failure of brittle materials under compression

Cited by 252 publications

References 40 publications

A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates

A Micromechanics Based Constitutive Model for Brittle Failure at High Strain Rates

Dynamic fragmentation of cellular, ice-templated alumina scaffolds

A Damage Constitutive Model for Rock Mass with Nonpersistently Closed Joints Under Uniaxial Compression

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