A new constitutive model for blast damage

Yang, Rongzhou; Bawden, W.F.; Katsabanis, P.D.

doi:10.1016/0148-9062(95)00064-x

Cited by 145 publications

(74 citation statements)

References 9 publications

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“…For the numerical example herein, from the test data the initial mass density of the rock material r 0 is found to be 2620 kg=m 3 ; and the bulk sound speed is 4690 m=s: Based on our literature review, the values for material constant S are mostly between 1.0 and 1.7 [31,32]; hence, a nominal value of 1.36 is adopted herein. The parameters of EOS in Equation (16) can be determined accordingly.…”

Section: Equation Of State For Rock Massmentioning

confidence: 99%

Numerical prediction of blast‐induced stress wave from large‐scale underground explosion

Hao

2003

Num Anal Meth Geomechanics

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SUMMARYThis paper presents a numerical model for predicting the dynamic response of rock mass subjected to largescale underground explosion. The model is calibrated against data obtained from large-scale field tests. The Hugoniot equation of state for rock mass is adopted to calculate the pressure as a function of mass density. A piecewise linear Drucker-Prager strength criterion including the strain rate effect is employed to model the rock mass behaviour subjected to blast loading. A double scalar damage model accounting for both the compression and tension damage is introduced to simulate the damage zone around the charge chamber caused by blast loading. The model is incorporated into Autodyn3D through its user subroutines. The numerical model is then used to predict the dynamic response of rock mass, in terms of the peak particle velocity (PPV) and peak particle acceleration (PPA) attenuation laws, the damage zone, the particle velocity time histories and their frequency contents for large-scale underground explosion tests. The computed results are found in good agreement with the field measured data; hence, the proposed model is proven to be adequate for simulating the dynamic response of rock mass subjected to large-scale underground explosion. Extended numerical analyses indicate that, apart from the charge loading density, the stress wave intensity is also affected, but to a lesser extent, by the charge weight and the charge chamber geometry for large-scale underground explosions.

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Section: Equation Of State For Rock Massmentioning

confidence: 99%

Numerical prediction of blast‐induced stress wave from large‐scale underground explosion

Hao

2003

Num Anal Meth Geomechanics

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“…For the damage evolution of low strain rate, two major damage evolution criteria [15] have been proposed for di erent kinds of materials; the ÿrst one is a power function of tensile normal stress and the other one is based on damage strain energy release rate. For damage evolution of a rock mass under high strain rate, the cumulative damage is considered as functions of the damaged Poisson's ratio [23], or extensional volumetric strain [11], or volumetric tensile strain [24]. In a previous study, scalar damage evolution of a rock mass under explosion loading was deÿned based on the volumetric tensile strain as [24] …”

Section: Statistical Analysis Of Anisotropic Cumulative Damage Of Thementioning

confidence: 99%

“…In these studies, the assumption of isotropic damage is often su cient in practice to give a good prediction of the general behaviour of a rock mass [5,[9][10][11]. A fuzzy probabilistic damage model based on isotropic damage assumption for a rock mass, which considers the statistical initial damage, damage evolution and the fuzzy failure criterion, has been used to estimate fuzzy failure probability of rock mass subjected to dynamic loads [4].…”

Section: Introductionmentioning

confidence: 99%

“…The statistical estimation of damage state and properties of randomly damaged rock mass is achieved by the Rosenblueth's point estimate method [16,17]. The statistical variations of other parameters, such as the mass density, Poisson's ratio, and the material constant i , which will be discussed later, are, however, neglected as they have little e ects on the response of a rock mass under dynamic loading [11]. In distinctive failure probability analysis of the rock mass to explosion loads, several levels of failure criteria are adopted.…”

Section: Introductionmentioning

confidence: 99%

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Distinctive and fuzzy failure probability analysis of an anisotropic rock mass to explosion load

Hao

Zhou

2002

Numerical Meth Engineering

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SUMMARYThis paper estimates failure probability of an anisotropic rock mass with random initial damage and random critical tensile strain to explosion loads. The initial random damage and critical tensile strain of the rock mass are estimated by approximate statistical methods. They are incorporated into the constitutive law of the anisotropic damage model. The statistical estimation of the rock-mass response to underground explosion is evaluated by the Rosenblueth's point estimate method. A statistical anisotropic continuum damage model considering both the anisotropic initial damage and cumulative damage dependent on tensile strain is suggested. A beta distribution is proposed to represent the probabilistic distribution of the damage variable of the rock mass under blasting loads. Using the theory of reliability, failure probabilities are calculated according to di erent levels of failure criteria of the rock mass. A fuzzy deÿnition is also proposed to describe the fuzzy nature of failure phenomenon of the rock mass. Based on the fuzzy random probabilistic theory, a model including both the e ects of randomness of the rock-mass properties and fuzziness of its failure criterion is proposed for the failure analysis of the rock mass. The suggested models are coded and linked with an available computer programe Autodyn3D as its user's subroutines. Using the Autodyn3D together with the suggested model, a series of ÿeld blasting tests are simulated. Numerical results of stress wave propagation are compared with ÿeld-recorded data. The failure probabilities of the rock mass around the charge hole are estimated.

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“…erefore, it can be assumed that the Poisson's ratio is constant during the damage process. According to the conclusion drawn by Yang et al [19], the constant Poisson's ratio can be used to maintain the constant relations among the elastic properties of the damaged material. erefore, the incremental stress-strain relationship of the damaged material can be expressed as…”

Section: Dynamic Constitutive Relationmentioning

confidence: 99%

A Coupled Damage‐Permeability Constitutive Model for Brittle Rocks Subjected to Explosive Loading

Wang

Su²,

et al. 2018

Advances in Civil Engineering

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A dynamic constitutive model considering coupled damage-permeability effect is developed for rocks under explosion. e main purpose of this model is to provide reference to in situ leaching mining (include uranium ore, gold ore, etc.) to improve the permeability of rocks using blasting. e damage is induced and described by the summation of all principal tensile strains. is method does not need to determine (distinguish) the stress state of the material and thus does not need to consider the damage induced by differential stresses. A corresponding relation between the damage status and rock permeability is established through a logarithm function. Based on the theoretical foundation, this model is embedded in a three-dimensional code of ABAQUS, and its applicability is verified through simulating the experiments under the condition of explosive load, the results from numerical simulation are consistent with the experimental results. Moreover, the obvious advantage of the numerical constitutive model is that it can clearly distinguish permeability variation that cannot be done in laboratory test.

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A new constitutive model for blast damage

Cited by 145 publications

References 9 publications

Numerical prediction of blast‐induced stress wave from large‐scale underground explosion

Numerical prediction of blast‐induced stress wave from large‐scale underground explosion

Distinctive and fuzzy failure probability analysis of an anisotropic rock mass to explosion load

A Coupled Damage‐Permeability Constitutive Model for Brittle Rocks Subjected to Explosive Loading

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