Elastoplastic Media

2012 ◽  
pp. 41-94
Author(s):  
Weimin Han ◽  
B. Daya Reddy
Keyword(s):  
Elastoplastic Media

Modelling of Hydraulic Fractures Propagation in the Layered Elastoplastic Media (Russian)

2016 ◽  
Author(s):  
Y. P. Stefanov ◽  
D. D. Bek ◽  
A. I. Akhtyamova ◽  
A. V. Myasnikov
Keyword(s):  
Hydraulic Fractures ◽  
Elastoplastic Media

Combining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media

2009 ◽  
Vol 18 (5-6) ◽  
pp. 485-523 ◽  
Author(s):  
Kais Ammar ◽  
Benoît Appolaire ◽  
Georges Cailletaud ◽  
Samuel Forest
Keyword(s):  
Phase Transformation ◽  
Phase Field ◽  
Field Approach ◽  
Homogenization Methods ◽  
Elastoplastic Media

Crack under the influence of internal pressure in elastoplastic media in the earth’s crust

2019 ◽  
Author(s):  
Yu. P. Stefanov ◽  
A. S. Romanov ◽  
R. A. Bakeev ◽  
A. V. Myasnikov
Keyword(s):  
Internal Pressure ◽  
Earth’S Crust ◽  
Earth's Crust ◽  
Elastoplastic Media

The overturning of Riemann waves in elastoplastic media with hardening

2013 ◽  
Vol 77 (4) ◽  
pp. 350-359 ◽  
Author(s):  
A.G. Kulikovskii ◽  
A.P. Chugainova
Keyword(s):  
Elastoplastic Media ◽  
Riemann Waves

scholarly journals An alternative J2 material model with isotropic hardening for coupled thermal-structural finite-strain elastoplastic analyses

2018 ◽  
Vol 157 ◽  
pp. 06003 ◽  
Author(s):  
Ladislav Écsi ◽  
Pavel Élesztos ◽  
Roland Jančo
Keyword(s):  
Evolution Equations ◽  
Finite Strain ◽  
Material Model ◽  
The Body ◽  
Isotropic Hardening ◽  
Failure Mode Transition ◽  
Return Mapping ◽  
Elastoplastic Media ◽  
Strain Measures ◽  
Fully Coupled

In this paper an alternative J2 material model with isotropic hardening for finite-strain elastoplastic analyses is presented. The model is based on a new nonlinear continuum mechanical theory of finite deformations of elastoplastic media which allows us to describe the plastic flow in terms of various instances of the yield surface and corresponding stress measures in the initial and current configurations of the body. The approach also allows us to develop thermodynamically consistent material models in every respect. Consequently, the models not only do comply with the principles of material modelling, but also use constitutive equations, evolution equations and even ‘normality rules’ during return mapping which can be expressed in terms of power conjugate stress and strain measures or their objective rates. Therefore, such models and the results of the analyses employing them no longer depend on the description and the particularities of the material model formulation. Here we briefly present an improved version of our former material model capable of modelling ductile-to brittle failure mode transition and demonstrate the model in a numerical example using a fully coupled thermal-structural analysis.

scholarly journals High Order Godunov Type Multimesh Method for 3d Impact Problems of Elastoplastic Media

2021 ◽  
Keyword(s):  
Three Dimensional ◽  
Second Order ◽  
The Body ◽  
Godunov Scheme ◽  
Order Accuracy ◽  
Order Of Accuracy ◽  
Sharp Interface Method ◽  
Impact Problems ◽  
Elastoplastic Media ◽  
Compact Stencil

A numerical method for calculating the three-dimensional processes of impact interaction of elastoplastic bodies under large displacements and deformations based on the multi mesh sharp interface method and modified Godunov scheme is presented. To integrate the equations of dynamics of an elastoplastic medium, the principle of splitting in space and in physical processes is used. The solutions of the Riemann problem for first and second order accuracy for compact stencil for an elastic medium in the case of an arbitrary stress state are obtained and presented, which are used at the “predictor” step of the Godunov scheme. A modification of the scheme is described that allows one to obtain solutions in smoothness domains with a second order of accuracy on a compact stencil for moving Eulerian-Lagrangian grids. Modification is performed by converging the areas of influence of the differential and difference problems for the Riemann’s solver. The “corrector” step remains unchanged for both the first and second order accuracy schemes. Three types of difference grids are used. The first – a moving surface grid – consists of a continuous set of triangles that limit and accompany the movement of bodies; the size and number of triangles in the process of deformation and movement of the body can change. The second – a regular fixed Eulerian grid – is limited to a surface grid; separately built for each body; integration of equations takes place on this grid; the number of cells in this grid can change as the body moves. The third grid is a set of local Eulerian-Lagrangian grids attached to each moving triangle of the surface from the side of the bodies and allowing obtain the parameters on the boundary and contact surfaces. The values of the underdetermined parameters in cell’s centers near the contact boundaries on all types of grids are interpolated. Comparison of the obtained solutions with the known solutions by the Eulerian-Lagrangian and Lagrangian methods, as well as with experimental data, shows the efficiency and sufficient accuracy of the presented three-dimensional methodology.

An Experimental Study of the Propagation of Transient Longitudinal Deformations in Elastoplastic Media

1953 ◽  
Vol 20 (3) ◽  
pp. 427-434
Author(s):  
E. J. Sternglass ◽  
D. A. Stuart
Keyword(s):  
Experimental Study ◽  
Strain Rate ◽  
Dynamic Process ◽  
Propagation Velocity ◽  
Wave Shape ◽  
Propagation Process ◽  
Von Karman ◽  
Elastoplastic Media ◽  
Von Kármán ◽  
Shape Changes

Abstract The propagation process of longitudinal plastic pulses in prestrained bars has been studied to test the validity of the Donnell-Taylor-von Kármán theory of plastic waves. The results obtained for the propagation velocity and wave-shape changes indicate that the theory fails to describe the dynamic process by its neglect of strain-rate and creep effects.

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