Stochastic Meshfree Method: For elasto-plastic damage analysis - Softcover

C O, Arun; N. Rao, B.; M. Srinivasan, S.

Softcover

ISBN 10: 3838382978 ISBN 13: 9783838382975

Publisher: LAP LAMBERT Academic Publishing, 2010

Synopsis

This monograph presents a stochastic element free Galerkin method for elasto?plastic damage analysis. First and second order perturbation methods are presented to predict the mean and covariance properties of stochastic responses in conjunction with shape function method and Karhunen?Loève expansion method for random field discretization. A novel stochastic state update procedure is presented to solve for the statistics of state variables. Numerical examples are solved to validate the proposed stochastic element free Galerkin method when uncertainty associated with the initial damage is considered. A study also has been carried out in this monograph using the deterministic EFGM to understand the effect of initial damage and its growth on structural response of single and bi? material problems. The newly proposed scaled transformation method developed during course of this research is adopted for the essential boundary and material discontinuity treatment in EFGM. The monograph focuses on the work carried by the first author at Indian Institute of Technology Madras, India; as a part of his doctoral study.

About this title

About the Author

Dr. C.O. Arun is currently working as Assistant Professor in the Department of Civil Engineering at Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore. His research areas include computational solid mechanics, meshfree and finite element methods, stochastic mechanics, structural reliability, and damage mechanics.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2010
• Language: English
• ISBN 10: 3838382978
• ISBN 13: 9783838382975
• Binding: Paperback
• Number of pages: 132