The time dependent Ginzburg-Landau (TDGL) equation is a typical model in phase field theory for many applications like two phase flow simulations and phase transitions. In this paper, we develop effective algorithms so that the solution of the TDGL model can be accurately approximated. Specifically, we adopt finite element methods for the spatial discretization and study different algorithms fo...

This paper presents a dynamic hysteresis model; which is a modification of the well known LuGre model. This model has been based on a modification to the LuGre model dynamic, which could be seen as a forward and backward displacement in the steady state solution of the dynamic LuGre model. The LuGre friction model is based on the average deflection of the bristles; implicitly, it is based on th...

In the current research with novel first and second differentiations of a yield function, Euler forward along with Euler backward with its consistent elastic-plastic modulus are newly implemented in finite element program in rate-independent plasticity. An elastic-plastic internally pressurized thick walled cylinder is analyzed with four famous criteria including both pressure dependent and ind...

INTRODUCTION The application of deformable image registration (DIR) to megavoltage computed tomography (MVCT) images benefits adaptive radiotherapy. This study aims to quantify the accuracy of DIR for MVCT images when using different deformation methods assessed in a cubic phantom and nasopharyngeal carcinoma (NPC) patients. METHODS In the control studies, the DIR accuracy in air-tissue and t...

This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...

The goal of this manuscript is to establish a novel computational model for stretch-induced skin growth during tissue expansion. Tissue expansion is a common surgical procedure to grow extra skin for reconstructing birth defects, burn injuries, or cancerous breasts. To model skin growth within the framework of nonlinear continuum mechanics, we adopt the multiplicative decomposition of the defor...

Aluminum alloy sheets have been widely used to build the thin-walled structures by mechanical clinching technology in recent years. However, there is an exterior protrusion located on the lower sheet and a pit on the upper sheet, which may restrict the application of the clinching technology in visible areas. In the present study, an improved clinched joint used to join aluminum alloy sheets wa...