Crack-mechanics based brittle damage model including nonlinear equation of state and porosity growth

Deganis, Luis Eduardo; Zuo, Q. H.

doi:10.1063/1.3562140

Cited by 3 publications

(1 citation statement)

References 16 publications

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“…Rate dependence helps keep the model mathematically well-posed, which can be difficult for a damage model when applications involve simulating the strain-softening response of a material. Zuo et al (2010) recently improved the physics of the model by incorporating plasticity and a nonlinear equation of state (Deganis and Zuo 2011), and applied it to study damage in concrete. Rate-dependent damage models are widely used for concrete under dynamic loads (Dube ´et al 1996).…”

Section: Micromechanics-based Constitutive Modelsmentioning

confidence: 99%

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

2013

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The purpose of this review is to discuss the development and the state of the art in dynamic testing techniques and dynamic mechanical behaviour of rock materials. The review begins by briefly introducing the history of rock dynamics and explaining the significance of studying these issues. Loading techniques commonly used for both intermediate and high strain rate tests and measurement techniques for dynamic stress and deformation are critically assessed in Sects. 2 and 3. In Sect. 4, methods of dynamic testing and estimation to obtain stress-strain curves at high strain rate are summarized, followed by an in-depth description of various dynamic mechanical properties (e.g. uniaxial and triaxial compressive strength, tensile strength, shear strength and fracture toughness) and corresponding fracture behaviour. Some influencing rock structural features (i.e. microstructure, size and shape) and testing conditions (i.e. confining pressure, temperature and water saturation) are considered, ending with some popular semi-empirical rate-dependent equations for the enhancement of dynamic mechanical properties. Section 5 discusses physical mechanisms of strain rate effects. Section 6 describes phenomenological and mechanically based ratedependent constitutive models established from the knowledge of the stress-strain behaviour and physical mechanisms. Section 7 presents dynamic fracture criteria for quasi-brittle materials. Finally, a brief summary and some aspects of prospective research are presented.

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Section: Micromechanics-based Constitutive Modelsmentioning

confidence: 99%

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

2013

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Theoretical modeling of the dynamic tensile response of Laurentian granite using the dominant crack algorithm

Yao

Xia

2019

International Journal of Rock Mechanics and Mining Sciences

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Elastic waves and damage quantification in brittle material with evolving damage

Zuo¹,

Deganis²,

Wang³

2012

J. Phys. D: Appl. Phys.

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This paper presents an analysis of the elastic wave propagation in brittle materials containing a distribution of microcracks. The crack-size distribution is assumed to be isotropic and exponential. The evolution of the mean crack size is described by a rate-dependent damage model based on the mechanics of microcracks. The analysis shows that the elastic wave speeds of a brittle material are sensitive to the change in the mean size of the distributed cracks in the material. The dependence of the wave speeds on the applied strain can also be used to validate the damage model. An example of a brittle ceramic under uniaxial-strain tension is presented to show quantitatively the changes in the longitudinal and shear wave speeds as functions of the applied strain. Explicit relations between the wave speeds and the mean crack size in the material are given.

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Crack-mechanics based brittle damage model including nonlinear equation of state and porosity growth

Cited by 3 publications

References 16 publications

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials

Theoretical modeling of the dynamic tensile response of Laurentian granite using the dominant crack algorithm

Elastic waves and damage quantification in brittle material with evolving damage

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