14911

13421

كارشناسي ارشد

طراحي كاربردي

اصفهان : دانشگاه صنعتي اصفهان

1398

دوازدهء 145 ص.: مصورء جدولء نمودار

عليرضا شهيدي

سعيد ضيايي راد

محمد مهدي سعادتپورء مهدي سلماني تهراني

1398/05/22

كتابنامه

مكانيك

مهندسي مكانيك

1398/05/22

2552723

Nonlinear Finite Element Formulation for Analysis of Continuum Media by Finger Strain Tensor Abdolrahman Xezersouri A Xezersouri@gmail com July 2 2019 Department of Mechanical Engineering Isfahan University of Technology Isfahan 84156 83111 IranDegree Master of Science Language FarsiSupervisor Alireza shahidi Assist Prof shahidi@cc iut ac ir AbstractIn the last few decades the use of finite element method has been grown because of its capability in solv ing equations with complex geometry and boundary conditions of the structures Because in the reality of theworld most of these equations loadings and boundary conditions are classified in nonlinear category Thusit is necessary to have a powerful tools for solving these kind of equations Among all the available methods the finite element method has been greatly used due to its comprehensiveness The formulation of all previousnonlinear finite element equations including the formulation of a large deformation based on the Green strain total Lagrangian the Almansi strain updated Lagrangian and the logarithmic strain which were based onthe definition of the material line or material line approach In this Thesis the Finger strain has been used toformulate large scale deformations based on the material surface approach ie the distance between materialsurfaces First the continuum equations of the material surface approach have been completely derived andcompared with previously derived formulation of material line approach next the formulation of finite elementmethod has been derived for the total Lagrangian approach The formulation is solved for a 2D geometric non linear example and its numerical results are compared in two cases for the isotropic and anisotropic materialswith the results of Green strain standard method This type of formulation is also important for layered struc tures such as composite structures which have a particular complexity in its equations Using Finger straincan be a more suitable criterion for deformation to evaluate the distance between layers The process of solvingnonlinear equations obtained by the finite element method is similar to the previous methods It finally leadsto the set of nonlinear algebraic equations which from a computational point of view is necessary to linearizethese equations In this thesis it is assumed that stress strain relation is linear and nonlinearity only concernedwith the geometric large deformation KeywordsNonlinear Finite Element Method Finger Strain Material Surface Approach Total Lagrangian Linearization

عليرضا شهيدي

سعيد ضيايي راد

محمد مهدي سعادتپورء مهدي سلماني تهراني