Fractal Finite Element Method

B. N. Rao

ISBN 10: 3838394836 / ISBN 13: 9783838394831

Published by LAP LAMBERT Academic Publishing Aug 2010, 2010

About this Item

Neuware -This monograph presents a new fractal finite element method (FFEM) based continuum shape sensitivity analysis for a crack in a homogeneous, isotropic, and 2-D linear-elastic body subjected to mixed-mode loading conditions. The method is based on the material derivative concept of continuum mechanics, and direct differentiation. In addition this monograph presents probabilistic fracture mechanics analysis of linear-elastic cracked structures subjected to mixed-mode loading conditions using FFEM. The method involves FFEM for calculating fracture response characteristics; statistical models of uncertainties in load, material properties, and crack geometry; and the FORM for predicting probabilistic fracture response and reliability of cracked structures. The sensitivity of fracture parameters with respect to crack size, required for probabilistic analysis, is calculated using continuum shape sensitivity analysis. The monograph focuses on the work carried by the second author at Indian Institute of Technology Madras, India; as a part of his doctoral study.Books on Demand GmbH, Überseering 33, 22297 Hamburg 160 pp. Englisch.

Seller Inventory # 9783838394831

Bibliographic Details

• Title: Fractal Finite Element Method
• Publisher: LAP LAMBERT Academic Publishing Aug 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 3838394836
• ISBN 13: 9783838394831
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This monograph presents a new fractal finite element method (FFEM) based continuum shape sensitivity analysis for a crack in a homogeneous, isotropic, and 2-D linear-elastic body subjected to mixed-mode loading conditions. The method is based on the material derivative concept of continuum mechanics, and direct differentiation. In addition this monograph presents probabilistic fracture mechanics analysis of linear-elastic cracked structures subjected to mixed-mode loading conditions using FFEM. The method involves FFEM for calculating fracture response characteristics; statistical models of uncertainties in load, material properties, and crack geometry; and the FORM for predicting probabilistic fracture response and reliability of cracked structures. The sensitivity of fracture parameters with respect to crack size, required for probabilistic analysis, is calculated using continuum shape sensitivity analysis. The monograph focuses on the work carried by the second author at Indian Institute of Technology Madras, India; as a part of his doctoral study.

About the Author

Dr. B. N. Rao is currently working as Associate Professor in the Department of Civil Engineering at Indian Institute of Technology Madras. His research areas includes computational solid mechanics, structural reliability, optimization, stochastic mechanics, fuzzy structural analysis, dimension reduction methods, fracture analysis.