Mesoscale Modeling of the Dynamic Response of Armor Ceramics

Antoun, T.; Vorobiev, O.; Herbold, Eric B.; Johnson, S. M.

doi:10.1002/9781118217498.ch1

Cited by 3 publications

(5 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This mesoscale model considers an isotropic elastic‐inelastic rock material with noncompliant discrete joint sets that may have arbitrary orientations. A similar approach was used in other works to create simulated data for jointed or particulate media to help calibrate material constants for continuum constitutive models.…”

Section: Determination Of the Materials Parametersmentioning

confidence: 99%

“…Due to the positive definiteness of K ijkl , the second term on the right-hand side of (13) is nonnegative. In Section 2.4 an evolution for porosity is specified, which ensures that (13) is satisfied for all motions.…”

Section: Helmholtz Free Energy and Constitutive Equations For Stressmentioning

confidence: 99%

“…This mesoscale model considers an isotropic elastic-inelastic rock material with noncompliant discrete joint sets that may have arbitrary orientations. A similar approach was used in other works 5,[11][12][13] to create simulated data for jointed or particulate media to help calibrate material constants for continuum constitutive models. It has been observed that the response of mesoscale simulations of an RVE may exhibit some dependence on the shape of the RVE, especially if the joint density is low and the friction coefficient on the joint sets is high.…”

Section: Determination Of the Materials Parametersmentioning

confidence: 99%

See 2 more Smart Citations

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

Vorobiev

Rubin

2018

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

Summary Joints in geological materials introduce elastic compliance and weak planes on which sliding can occur. Although these materials can have multiple joint sets, they often have preferred orientations that cause both elastic and inelastic anisotropic response even when the unjointed material is isotropic. Azimuthal variations in radial velocity and polarity of tangential motion have been observed in experimental data for wave propagation caused by an initially spherical source in a geological material with multiple joint sets. This observed tangential ground motion was found to be related to mechanical anisotropy caused by preferred orientations of joints in the rock. This paper describes thermomechanical continuum constitutive equations, which model the effects of multiple persistent joint sets. A number of quasi‐static examples are considered, which show that the proposed model predicts anisotropic effects of sliding on multiple joint sets similar to those exhibited by computationally expensive mesoscale calculations, which model joint sets explicitly.

show abstract

Section: Determination Of the Materials Parametersmentioning

confidence: 99%

Section: Helmholtz Free Energy and Constitutive Equations For Stressmentioning

confidence: 99%

Section: Determination Of the Materials Parametersmentioning

confidence: 99%

See 1 more Smart Citation

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

Vorobiev

Rubin

2018

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…An example of the variety of the approaches used may be, for example, studies [163][164][165][166][167][168][169], in which concrete models are constructed which combine a consideration of the processes at the atomic or dislocation level and their description in the relations of continuum mechanics. A full analysis of such multilevel (mostly two-level) models would require a special review.…”

Section: Multilevel Modelsmentioning

confidence: 99%

Deformation models under intense dynamic loading (Review)

Merzhievskii

2015

Combust Explos Shock Waves

View full text Add to dashboard Cite

This paper considers currently available models of irreversible deformation processes of materials under dynamic, in particular shock-wave, loading. The models can be divided into three groups: (1) macroscopic (continuum) models-traditional models of continuum mechanics, primarily classical models of elastic-plastic deformation, their various generalizations to the case of dynamic processes and models of viscoelastic relaxation media; (2) microstructural models based on the description of microstructural mechanisms of irreversible deformation (usually, the concept of the kinetics of a dislocation ensemble); (3) atomistic molecular dynamics models and calculations. A special category includes the most promising (from the point of view of the author) multilevel models which combine the advantages of each of these approaches and consider deformation mechanisms of various levels. Examples of calculations using such models are presented.

show abstract

“…Mesoscale studies under different loading conditions have been undertaking before (Antoun et al, 2012;Fish and Yu, 2001;Lo´pez et al, 2008a;Zhou and Hao, 2009). In most of these studies fracture of concrete was modeled as a breakage of cohesive elements or springs which were inserted between the solid elements a priori.…”

Section: Introductionmentioning

confidence: 99%

A continuum model for concrete informed by mesoscale studies

Vorobiev

Herbold

Ezzedine

et al. 2017

International Journal of Damage Mechanics

View full text Add to dashboard Cite

The paper describes a novel computational approach to refine continuum models for penetration calculations which involves two stages. At the first stage, a trial continuum model is used to model penetration into a concrete target. Model parameters are chosen to match experimental data on penetration depth. Deformation histories are recorded at few locations in the target around the penetrator. In the second stage, these histories are applied to the boundaries of a representative volume comparable to the element size in large scale penetration simulation. Discrete-continuum approach is used to model the deformation and failure of the material within the representative volume. The same deformation histories are applied to a single element which uses the model to be improved. Continuum model may include multiple parameters or functions which cannot be easily found using experimental data. We propose using mesoscale response to constrain such parameters and functions. Such tuning of the continuum model using typical deformation histories experienced by the target material during the penetration allows us to minimize the parameter space and build better models for penetration problems which are based on physics of penetration rather than intuition and ad hoc assumptions.

show abstract

Mesoscale Modeling of the Dynamic Response of Armor Ceramics

Cited by 3 publications

References 45 publications

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

Deformation models under intense dynamic loading (Review)

A continuum model for concrete informed by mesoscale studies

Contact Info

Product

Resources

About