Nonlinear property of the visco-elastic-plastic material in the impact problem

Faraz

Sun

et al. 2014

AMM

Self Cite

This paper introduces two equations of non-Newtonian boundary-layer fluid: Cauchy equation of flow field and P-T/T equation of stress field. Secondly, we analyze the convergence of this system of fluid-solid coupled equation with semi-discrete finite element method. We use Galerkin finite element method on the space and semi-implicit C-N difference scheme on the time. Thus, the convergent order of the coupled equations is O（h2+k2） .

“…Contact surface will appear the property similar to the boundary-layer fluid. Cauchy equation [4,5] is used to calculated the changes of the velocityu in the flow field…”

Section: The Variation Of the Coupled Equationmentioning

confidence: 99%

The Convergence of Coupled Boundary-Layer Equation in the Contact Interface

Faraz

Sun

et al. 2014

AMM

Self Cite

“…On the one hand, using standard variables of material science, the resistance of epitaxial and simple shear rate is analyzed by the characteristics of non-Newtonian P-T/T equation (1) [4,8]. On the other hand, using Cauchy conservation equation (2) [3,7], elastic-plastic material deformation (shear thinning) caused by distribution changes of the macro-stress field τ is calculated.…”

Section: Fluid-solid Coupling Equationsmentioning

confidence: 99%

Finite Element Convergence Analysis of Two-Scale Non-Newtonian Flow Problems

Zhao

2013

AMR

Self Cite

The convergence of the first-order hyperbolic partial differential equations in non-Newton fluid is analyzed. This paper uses coupled partial differential equations (Cauchy fluid equations, P-T/T stress equation) on a macroscopic scale to simulate the free surface elements. It generates watershed by excessive tensile elements. The semi-discrete finite element method is used to solve these equations. These coupled nonlinear equations are approximated by linear equations. Its super convergence is proposed.

“…( 6) can be written as: (7) A semi-implicit time scheme of Crank-Nicolson (C-N) scheme rewrites eq. ( 6) as: (8) Rewrite eq. ( 7) as: (9) and eq.…”

Section: Macroscopic Stochastic Equationsmentioning

confidence: 99%

Dual Scaled Stochastic FEM Simulation of Porous Honeycomb Material

Zhao

et al. 2013

AMM

Self Cite

In this paper, a dual-scaled method is introduced to simulate the nonlinear property of porous honeycomb material. In microscopic scale, stochastic analysis upon a detailed representation of the hexagonal cells is applied. In macroscopic scale, coupled fluid-solid PDEs with a modified stochastic item are used to describe the rheology of non-Newtonian property of honeycomb. Semi-discrete finite element method (FEM) is applied to solve the PDEs. Comparison of stochastic dynamic system with definite dynamic system is introduced. Numerical Results of Euler explicit time scheme and Crank-Nicolson semi-implicit time scheme are presented.