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Elastic Postbuckling Analysis of Structural Systems : Computational Methods and Applications / by Arul Jayachandran.
- Format:
- Book
- Author/Creator:
- Arul Jayachandran, S.
- Series:
- Solid Mechanics and Its Applications, 2214-7764 ; 232
- Language:
- English
- Subjects (All):
- Mathematics--Data processing.
- Mathematics.
- Mechanics, Applied.
- Solids.
- Computational Science and Engineering.
- Solid Mechanics.
- Local Subjects:
- Computational Science and Engineering.
- Solid Mechanics.
- Physical Description:
- 1 online resource (198 pages)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9783031899362
- OCLC:
- 1530375334
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