Solid Mechanics and Its Applications: Computational Methods and Applications

Jayachandran, Arul

This book presents a unified computational approach to postbuckling stability analysis of structures using the Total Potential Energy (TPE) framework. It builds upon the secant matrix technique (N1-N2 method) and introduces the Variable Order Secant Matrix (VoSM) method, providing a robust framework for analyzing reticulated, framed, continuum, and thin-walled systems under large deformations. The book derives the geometric nonlinear finite element formulations using Total Lagrangian (TL) and co-rotational TL formats, ensuring accurate postbuckling analysis. It includes benchmark problems and numerical case studies, making it a valuable resource for graduate students, researchers, and faculty involved in structural stability and advanced postbuckling investigations. Additionally, it serves as an indispensable reference for analyzing and designing steel structures.

Details

Published by: Springer

Publication Date: 2025-07-28

Format: Hardcover

ISBN-13: 9783031899355

DOI: 10.1007/978-3-031-89936-2

Dimensions: 235cm x155cm

Pages: 142