High-Order Eulerian Simulations of Multimaterial Elastic–Plastic Flow

We develop a new high-order numerical method for continuum simulations of multimaterial phenomena in solids exhibiting elastic–plastic behavior using the diffuse interface numerical approximation. This numerical method extends an earlier single material high-order formulation that uses a tenth-order high-resolution compact finite difference scheme in conjunction with a localized artificial diffusivity (LAD) method for shock and contact discontinuity capturing. The LAD method is extended here to the multimaterial formulation and is shown to perform well for problems involving shock waves, material interfaces and interactions between the two. Accuracy of the proposed approach in terms of formal order (eighth-order) and numerical resolution is demonstrated using a suite of test problems containing smooth solutions. Finally, the Richtmyer–Meshkov (RM) instability between copper and aluminum is simulated in two-dimensional (2D) and a parametric study is performed to assess the effect of initial perturbation amplitude and yield stress.

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Sharp Interface Capturing in Compressible Multi-Material Flows with a Diffuse Interface Method

Applied Sciences ◽

10.3390/app112412107 ◽

2021 ◽

Vol 11 (24) ◽

pp. 12107

Author(s):

Shambhavi Nandan ◽

Christophe Fochesato ◽

Mathieu Peybernes ◽

Renaud Motte ◽

Florian De Vuyst

Keyword(s):

High Speed ◽

Industrial Applications ◽

Sharp Interface ◽

Diffuse Interface ◽

Material Interfaces ◽

Rocket Propulsion ◽

Numerical Resolution ◽

Interface Capturing ◽

Wide Range ◽

Coarse Meshes

Compressible multi-materialflows are encountered in a wide range of natural phenomena and industrial applications, such as supernova explosions in space, high speed flows in jet and rocket propulsion, underwater explosions, and vapor explosions in post accidental situations in nuclear reactors. In the numerical simulations of these flows, interfaces play a crucial role. A poor numerical resolution of the interfaces could make it difficult to account for the physics, such as material separation, location of the shocks and contact discontinuities, and transfer of the mass, momentum and heat between different materials/phases. Owing to such importance, sharp interface capturing remains an active area of research in the field of computational physics. To address this problem in this paper we focus on the Interface Capturing (IC) strategy, and thus we make use of a newly developed Diffuse Interface Method (DIM) called Multidimensional Limiting Process-Upper Bound (MLP-UB). Our analysis shows that this method is easy to implement, can deal with any number of material interfaces, and produces sharp, shape-preserving interfaces, along with their accurate interaction with the shocks. Numerical experiments show good results even with the use of coarse meshes.

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Elastic-plastic behavior of coldworked holes

10.2514/6.1983-865 ◽

1983 ◽

Cited By ~ 1

Author(s):

H. ARMEN ◽

A. LEVY ◽

H. EIDINOFF

Keyword(s):

Plastic Behavior ◽

Elastic Plastic

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Effect of Defect on Elastic/Plastic and Creep Behavior of Bone: A Finite Element Study

ASME 2007 Summer Bioengineering Conference ◽

10.1115/sbc2007-175843 ◽

2007 ◽

Author(s):

A. Ajdari ◽

P. K. Canavan ◽

H. Nayeb-Hashemi ◽

G. Warner

Keyword(s):

Mechanical Properties ◽

Finite Element ◽

Trabecular Bone ◽

Fatigue Loading ◽

Dimensional Structure ◽

Plastic Behavior ◽

Element Analysis ◽

Elastic Plastic ◽

Local Bone ◽

Osteoporotic Vertebral Fractures

Three-dimensional structure of trabecular bone can be modeled by 2D or 3D Voronoi structure. The effect of missing cell walls on the mechanical properties of 2D honeycombs is a first step towards understanding the effect of local bone resorption due to osteoporosis. In patients with osteoporosis, bone mass is lost first by thinning and then by resorption of the trabeculae [1]. Furthermore, creep response is important to analyze in cellular solids when the temperature is high relative to the melting temperature. For trabecular bone, as body temperature (38 °C) is close to the denaturation temperature of collagen (52 °C), trabecular bone creeps [1]. Over the half of the osteoporotic vertebral fractures that occur in the elderly, are the result of the creep and fatigue loading associated with the activities of daily living [2]. The objective of this work is to understand the effect of missing walls and filled cells on elastic-plastic behavior of both regular hexagonal and non-periodic Voronoi structures using finite element analysis. The results show that the missing walls have a significant effect on overall elastic properties of the cellular structure. For both regular hexagonal and Voronoi materials, the yield strength of the structure decreased by more than 60% by introducing 10% missing walls. In contrast, the results indicate that filled cells have much less effect on the mechanical properties of both regular hexagonal and Voronoi materials.

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Thermal Annealing Effect on Elastic-Plastic Behavior of Al-Si-Cu Structural Films Under Uniaxial and Biaxial Tension

Journal of Microelectromechanical Systems ◽

10.1109/jmems.2013.2257985 ◽

2013 ◽

Vol 22 (6) ◽

pp. 1414-1427 ◽

Cited By ~ 7

Author(s):

Takahiro Namazu ◽

Masayuki Fujii ◽

Hiroki Fujii ◽

Kei Masunishi ◽

Yasushi Tomizawa ◽

...

Keyword(s):

Thermal Annealing ◽

Biaxial Tension ◽

Annealing Effect ◽

Plastic Behavior ◽

Elastic Plastic

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Load Regime Diagram of a Pipe With Cyclically Plastic Bending

10th International Conference on Nuclear Engineering, Volume 1 ◽

10.1115/icone10-22100 ◽

2002 ◽

Author(s):

Yanping Yao ◽

Ming-Wan Lu

Keyword(s):

Axial Force ◽

Bending Moment ◽

Boundary Curve ◽

Plastic Behavior ◽

Cyclic Bending ◽

Elastic Plastic ◽

Linear Elastic ◽

Load Regime ◽

Reversed Cyclic ◽

Cyclic Bending Moment

The criteria of piping seismic design based on linear elastic analysis has been proved to be conservative, which is mainly because the influence of plastic deformation on piping dynamic response is neglected. In the present paper, a pipe under seismic excitation is simplified as an beam with tubular cross section subjected to steady axial force and fully reversed cyclic bending moment, and the elastic-plastic behavior of the pipe is studied. Various behavior of the pipe under different combinations of axial force and cyclic bending moment is discussed and the boundary curve equations between them are obtained. Also the load regime diagram for a pipe which is formed by the boundary curve equations in the loading plane is given, from which the elastic-plastic behavior of the pipe can be determined directly.

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