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Elastic postbuckling analysis of structural systemscomputational methods and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elastic postbuckling analysis of structural systemsby Arul Jayachandran.
Reminder of title:	computational methods and applications /
Author:	Jayachandran, Arul.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xvii, 142 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Structural stability.
Online resource:	https://doi.org/10.1007/978-3-031-89936-2
ISBN:	9783031899362$q(electronic bk.)

Elastic postbuckling analysis of structural systemscomputational methods and applications /
Jayachandran, Arul.

Elastic postbuckling analysis of structural systemscomputational methods and applications /[electronic resource] :by Arul Jayachandran. - Cham :Springer Nature Switzerland :2025. - xvii, 142 p. :ill. (some col.), digital ;24 cm. - Solid mechanics and its applications,v. 2322214-7764 ;. - Solid mechanics and its applications ;v. 152..

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.

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.

ISBN: 9783031899362$q(electronic bk.)

Standard No.: 10.1007/978-3-031-89936-2doiSubjects--Topical Terms:

210646
Structural stability.

LC Class. No.: TA656

Dewey Class. No.: 624.171

Elastic postbuckling analysis of structural systemscomputational methods and applications /
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505 0 $a 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.
520 $a 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.
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