Eulerian adaptive finite-difference method for high-velocity impact and penetration problems

Barton, Philip T.; Deiterding, Ralf; Meiron, D. I.; Pullin, D. I.

doi:10.1016/j.jcp.2013.01.013

Cited by 61 publications

(39 citation statements)

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“…One can mention here an 'Optimal Transportation Mesh Free' method (Li et al [24,25]) based on the discretization of Hamilton's action for elastic solids where a special failure algorithm is added to describe the fragmentation. Another approach was used in Barton et al [3] where the fragmentation is governed by regularization in solving the level-set advection equations. In particular, such a regularization does not conserve the mass and the total energy on coarse grids.…”

Section: Introductionmentioning

confidence: 99%

“…The pure solid component was described by a hyperelastic model (Miller and Colella [27], Godunov and Romenskii [15], Gavrilyuk et al [14], Godunov and Peshkov [16], Kluth and Desprès (2008) [22], Barton et al. [3] and others). The hyperelastic models have some advantages with respect to conventional hypoelastic models [37].…”

Section: Introductionmentioning

confidence: 99%

“…The second one is formulated in terms of the convexity of the elastic (isochoric) energy. Modelling visco-plastic transformations was done by using a Maxwell type model [15,16,9,3]. When plastic deformations occured, the model [8,10] was in agreement with the following natural requirements:…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation

Ndanou¹,

Favrie²,

Gavrilyuk³

2015

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation

Ndanou¹,

Favrie²,

Gavrilyuk³

2015

Journal of Computational Physics

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“…A detailed description of the numerical discretization of the equations of motion and the computation of the plasticity models can be found in [21][22][23]. As a summary, the equations of motion for elastic-plastic solids (3) are implemented in the AMROC framework [24], a parallel implementation of the adaptive mesh refinement algorithm of Berger and Collela [25] for solving generic systems of hyperbolic partial differential (6), an exact solution for this ordinary differential equation can be obtained.…”

Section: Equations and Numerical Implementationmentioning

confidence: 99%

Numerical simulations of the Richtmyer-Meshkov instability in solid-vacuum interfaces using calibrated plasticity laws

et al. 2014

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The Richtmyer-Meshkov instability of interfaces separating elastic-plastic materials from vacuum (heavy-light configuration) is studied by means of computational techniques. A fully Eulerian multimaterial algorithm that solves consistently the Euler equations and the time evolution of the deformations in the material is applied to three distinct materials (copper, aluminum, and stainless steel). If a perfectly plastic constitutive relation is considered, an empirical law is computed that relates the long-term perturbation amplitude of the interface, its maximum growth rate, the initial density, and the yield stress of the material. It is shown that this linear relation can be extended to materials that follow more complex plastic behavior which can account for rate dependency, hardening, and thermal softening, and to situations in which small-perturbation theory is no longer valid. In effect, the yield stress computed from measurements of the long-term amplitude and maximum growth rate closely matches the von Mises stress found at the interface of solid materials for a wide range of cases with different initial parameters.

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“…The characteristic structure of the set of hyperbolic equations can be accounted for by the solution of a Riemann problem at interfaces between cells, and the same order of convergence is achieved for both the displacement and stress fields [2]. Several authors [3,4,5,6,7] have proposed many ways to simulate impacts on dissipative solid media such that elastic-plastic solids.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical Numerical Simulation of Impacts on Elastic-Plastic Solids With the Finite Volume Method

Heuzé¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. We present in this work two implementation schemes of the finite volume method for the numerical simulation of impacts on thermo-elastic-plastic solids within the small strain framework for one dimension (bar) solid media, based on the Lax-Wendroff and high (second) order TVD methods. A strong thermomechanical coupling and adiabatic conditions are assumed. Comparison is performed with results obtained with the classical finite element method and an analytical solution on a test case involving a discontinuous solution. The finite volume methods (mainly the high order TVD one) improve both the track of the shock wave path, even after many reflexions of waves, and the computation of plastic strains and temperature.4717

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Eulerian adaptive finite-difference method for high-velocity impact and penetration problems

Cited by 61 publications

References 50 publications

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation

Numerical simulations of the Richtmyer-Meshkov instability in solid-vacuum interfaces using calibrated plasticity laws

Thermomechanical Numerical Simulation of Impacts on Elastic-Plastic Solids With the Finite Volume Method

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