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.

Provides a methodology for postbuckling stability analysis, addressing an underexplored aspect of structural stability Extends and refines the variable order secant matrix technique for beams, frames, thin-walled sections, and shells Offers practical validation tools for researchers to enhance their finite element models for postbuckling analysis

Inhalt

Chapter 1. Introduction to Elastic Postbuckling Behavior of Structures.- Chapter 2. A Co-Rotation-Based Secant Matrix Procedure for the Elastic Postbuckling Analysis of Truss Structures.- Chapter 3. Variable Order Secant Matrices for the Kinematically Exact Postbuckling Analysis of Beams and Frames.- Chapter 4. Variable Order Secant Matrices for Geometric Nonlinear Analysis of Thin-Walled Open Sections.- Chapter 5. Improved secant matrices for the postbuckling analysis of thin initially imperfect plates.- Chapter 6. Postbuckling Analysis of Shallow Shells Using Secant Matrices Based on Marguerre's Shell Theory.- Chapter 7. Closing Remarks.