Modelling wave dynamics of compressible elastic materials

Gavrilyuk, Sergey; Favrie, Nicolas; Saurel, Richard

doi:10.1016/j.jcp.2007.11.030

Cited by 107 publications

(114 citation statements)

References 19 publications

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“…Equations 11 and 12 have the benefit of being expressed in conservation form, which extends their applicability to problems that lack a smooth solution. This feature has sparked interest in the approach and a number of recent validations and high-order tests have been conducted [2,26,10].…”

Section: Other Eulerian Approachesmentioning

confidence: 99%

Reference map technique for finite-strain elasticity and fluid–solid interaction

Kamrin

Rycroft

Nave

2012

Journal of the Mechanics and Physics of Solids

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The reference map, defined as the inverse motion function, is utilized in an Eulerian-frame representation of continuum solid mechanics, leading to a simple, explicit finite-difference method for solids undergoing finite-deformations. We investigate the accuracy and applicability of the technique for a range of finite-strain elasticity laws under various geometries and loadings. Capacity to model dynamic, static, and quasi-static conditions is shown. Specifications of the approach are demonstrated for handling irregularly shaped and/or moving boundaries, as well as shock solutions. The technique is also integrated within a fluid-solid framework using a level-set to discern phases and using a standard explicit fluid solver for the fluid phases. We employ a sharp-interface method to institute the interfacial conditions, and the resulting scheme is shown to quickly capture FSI solutions in several examples.

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Section: Other Eulerian Approachesmentioning

confidence: 99%

Reference map technique for finite-strain elasticity and fluid–solid interaction

Kamrin

Rycroft

Nave

2012

Journal of the Mechanics and Physics of Solids

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“…Specifically we shall focus on a model for solid dynamics in which the thermodynamically compatible balance laws are expressible as a first order system of partial differential equations in divergent form [15,30]. For compressible problems such models are becoming increasingly popular (see for example [1][2][3]6,8,17,20,25,26,33]) over classical empirical variants based upon advection of the deviatoric stresses since numerical methods can be applied that circumvent the requirement to explicitly include artificial viscosity for resolving shocks, thus improving the accuracy of calculations. The proposed functional for the Maxwell relaxation time of tangential stress, governing the limit of allowable elastic deformations due to plastic yield, is derived based upon dislocation kinetics and calibrated for OFHC copper using available experimental data for uniaxial loading tests.…”

Section: Introductionmentioning

confidence: 99%

On Computational Modelling Of Strain-Hardening Material Dynamics

Barton

Romenski

2012

Commun. comput. phys.

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Abstract. In this paper we show that entropy can be used within a functional for the stress relaxation time of solid materials to parametrise finite viscoplastic strainhardening deformations. Through doing so the classical empirical recovery of a suitable irreversible scalar measure of work-hardening from the three-dimensional state parameters is avoided. The success of the proposed approach centres on determination of a rate-independent relation between plastic strain and entropy, which is found to be suitably simplistic such to not add any significant complexity to the final model. The result is sufficiently general to be used in combination with existing constitutive models for inelastic deformations parametrised by one-dimensional plastic strain provided the constitutive models are thermodynamically consistent. Here a model for the tangential stress relaxation time based upon established dislocation mechanics theory is calibrated for OFHC copper and subsequently integrated within a two-dimensional moving-mesh scheme. We address some of the numerical challenges that are faced in order to ensure successful implementation of the proposed model within a hydrocode. The approach is demonstrated through simulations of flyer-plate and cylinder impacts.

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“…The closure of the system is performed by using an equation of state presented in a separable form [11]:…”

Section: System Closurementioning

confidence: 99%

Impact simulation by an Eulerian model for interaction of multiple elastic-plastic solids and fluids

Hank¹,

Gavrilyuk²,

Favrie³

et al. 2017

International Journal of Impact Engineering

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A multiphase Eulerian formulation for the interaction of visco-plastic compressible solids and compressible fluids is proposed. The plasticity effects in solids are described by relaxation terms in the governing equations which are compatible with the Von Mises yield criterion. The visco-plastic model is validated on available experimental data in a range of the impact velocity : a high velocity symmetric rod-on-rod impact experiments, as well as low velocity impacts of jelly-like materials. A good agreement between numerical and experimental results is found.

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Modelling wave dynamics of compressible elastic materials

Cited by 107 publications

References 19 publications

Reference map technique for finite-strain elasticity and fluid–solid interaction

Reference map technique for finite-strain elasticity and fluid–solid interaction

On Computational Modelling Of Strain-Hardening Material Dynamics

Impact simulation by an Eulerian model for interaction of multiple elastic-plastic solids and fluids

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