A new error control finite element formulation is developed and implemented based on the variational multiscale method, the inclusion theory in homogenization, and the Zienkiewicz–Zhu error estimator. By synthesizing variational multiscale method in computational mechanics, the equivalent eigenstrain principle in micromechanics, and the Zienkiewicz–Zhu error estimator in the finite element meth...

A micromechanics based thermal model was developed to predict the temperature and degree of cure (DOC) distribution inside a unidirectional fiber reinforced composite during the curing process. Using the concentric cylinder assemblage (CCA) model as a representation of the composite microstructure, the effective thermodynamic properties of the composite were computed based on the fiber and matr...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

A micromechanics based analysis to predict damage initiation in compressively loaded symmetric notched multiply laminates at efevated temperature under remote biaxial loading is described. The finite element method in conjunction with the commercial code ABAQUS® is used to solve the governing system of equations. The results obtained for the predictions are compared against a set of experimenta...

Whilst specimen-specific finite element (FE) models of bone have shown good agreement with experimental results, the representation of cement-augmented bone for orthopaedic applications remains a challenge. In previous studies, the bone-cement interface has been represented in simplified forms using continuum level models, but this has been shown to lead to large overestimations in the predicte...

introduction: with the rapid increase in use of lasers in medical treatments, it is important to understand the mechanisms of heat transfer in biological tissues in order to minimize damage to the tissues resulting from extra heat applied. the aim of this study is to investigate the temperature distribution in living biological tissues when laser irradiation is used in a treatment. methods:  in...

objective: intrusion as a type of tooth movement is managed by different mechanotherapies during various treatment stages. the morphology of the apical third of the teeth to be intruded plays an important role in the risk of root resorption due to the raise of stresses. the main goal of this study was to compare various types of apical third of the teeth while loaded by an intrusive force. mate...