The Finite Element Method in Problems of the Thin Shells Theory

Olga Lukianchenko

ISBN 10: 6200082200 / ISBN 13: 9786200082206

Published by LAP LAMBERT Academic Publishing Mai 2019, 2019

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -This book focuses on the realization of curvilinear finite element models on the basis of vector approximation of the form function in problems of nonlinear deformation and stability of thin shells. A technique for constructing geometrically nonlinear finite element models of thin shells is proposed in the form of nonlinear algebraic equations system that take into account the curvilinearity of the shell elements and its shape imperfection as the initial perturbation of the solution. The book has two parts. The first part contains the original scheme of the finite element method on the basis of vector approximation of the form function in problems of linear deformation of thin shells. The proposed scheme is tested on a number of examples. The second part focuses on curvilinear finite element models of thin shells in a nonlinear vector formulation. This part exhibits a technique for constructing geometrically nonlinear finite element models of thin shells with imperfections of the shape. Stress and stability analysis of the thin free-form shells by used modification scheme of the finite element method are in this part. 140 pp. Englisch.

Seller Inventory # 9786200082206

Bibliographic Details

• Title: The Finite Element Method in Problems of the Thin Shells Theory
• Publisher: LAP LAMBERT Academic Publishing Mai 2019
• Publication Date: 2019
• Language: English
• ISBN 10: 6200082200
• ISBN 13: 9786200082206
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This book focuses on the realization of curvilinear finite element models on the basis of vector approximation of the form function in problems of nonlinear deformation and stability of thin shells. A technique for constructing geometrically nonlinear finite element models of thin shells is proposed in the form of nonlinear algebraic equations system that take into account the curvilinearity of the shell elements and its shape imperfection as the initial perturbation of the solution. The book has two parts. The first part contains the original scheme of the finite element method on the basis of vector approximation of the form function in problems of linear deformation of thin shells. The proposed scheme is tested on a number of examples. The second part focuses on curvilinear finite element models of thin shells in a nonlinear vector formulation. This part exhibits a technique for constructing geometrically nonlinear finite element models of thin shells with imperfections of the shape. Stress and stability analysis of the thin free-form shells by used modification scheme of the finite element method are in this part.