國立高雄大學圖資館 |

Language: English

Back

Algebraic equations of linear elasticitynovel force-based methods for solid mechanics with MATLAB® /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic equations of linear elasticityby Lester W. Schmerr Jr.
Reminder of title:	novel force-based methods for solid mechanics with MATLAB® /
Author:	Schmerr, Lester W.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xi, 218 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Elasticity.
Online resource:	https://doi.org/10.1007/978-3-031-66174-7
ISBN:	9783031661747$q(electronic bk.)

Algebraic equations of linear elasticitynovel force-based methods for solid mechanics with MATLAB® /
Schmerr, Lester W.

Algebraic equations of linear elasticitynovel force-based methods for solid mechanics with MATLAB® /[electronic resource] :by Lester W. Schmerr Jr. - Cham :Springer Nature Switzerland :2024. - xi, 218 p. :ill. (some col.), digital ;24 cm.

Introduction -- Algebraic Equations of Linear Elasticity -- Force-Based Methods in Statics -- Force-Based Methods in Strength of Materials -- Force-Based Methods in Advanced Strength of Materials -- Force-Based and Displacement-Based Finite Elements.

This book describes a second-generation force-based method emerging from a general formulation where the partial differential equations of elasticity are replaced by equivalent algebraic equations. These algebraic equations of linear elasticity can be used to solve statically indeterminate problems in reduced forms that define either the new second-generation force-based approach or a new displacement-based approach. The new force-based method can serve as the basis for teaching students at many technical levels how to solve equilibrium problems directly for the forces present. In elasticity courses, the derivation and use of the algebraic equations of linear elasticity can show how the difficulties of dealing with partial differential equations may be avoided by transforming those equations into algebraic equations with work-energy concepts. In a finite element course, a force-based finite element method can be described along with the traditional displacement-based approach to demonstrate how the two methods provide alternative ways for solving complex structural problems. Serving as a resource for including second-generation force-based methods in solid mechanics courses of an engineering curriculum, and as a robust learning resource, the book is ideal for instructors and for students, practicing engineers, and researchers. Includes separate chapters for statics, strength of materials, advanced strength of materials, and finite elements Incorporates MATLAB for students to implement second-generation force-based methods at many levels within the curriculum Derives the algebraic equations of linear elasticity and uses them to develop the second-generation force-based method.

ISBN: 9783031661747$q(electronic bk.)

Standard No.: 10.1007/978-3-031-66174-7doiSubjects--Topical Terms:

229098
Elasticity.

LC Class. No.: QA931

Dewey Class. No.: 531.382

Algebraic equations of linear elasticitynovel force-based methods for solid mechanics with MATLAB® /
LDR:02977nmm a2200325 a 4500 001 669373
003 DE-He213
005 20240909131042.0
006 m d
007 cr nn 008maaau
008 250120s2024 sz s 0 eng d
020 $a 9783031661747$q(electronic bk.)
020 $a 9783031661730$q(paper)
024 7 $a 10.1007/978-3-031-66174-7 $2 doi
035 $a 978-3-031-66174-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA931
072 7 $a TGMD $2 bicssc
072 7 $a SCI096000 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 531.382 $2 23
090 $a QA931 $b .S347 2024
100 1 $a Schmerr, Lester W. $3 208097
245 1 0 $a Algebraic equations of linear elasticity $h [electronic resource] : $b novel force-based methods for solid mechanics with MATLAB® / $c by Lester W. Schmerr Jr.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xi, 218 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- Algebraic Equations of Linear Elasticity -- Force-Based Methods in Statics -- Force-Based Methods in Strength of Materials -- Force-Based Methods in Advanced Strength of Materials -- Force-Based and Displacement-Based Finite Elements.
520 $a This book describes a second-generation force-based method emerging from a general formulation where the partial differential equations of elasticity are replaced by equivalent algebraic equations. These algebraic equations of linear elasticity can be used to solve statically indeterminate problems in reduced forms that define either the new second-generation force-based approach or a new displacement-based approach. The new force-based method can serve as the basis for teaching students at many technical levels how to solve equilibrium problems directly for the forces present. In elasticity courses, the derivation and use of the algebraic equations of linear elasticity can show how the difficulties of dealing with partial differential equations may be avoided by transforming those equations into algebraic equations with work-energy concepts. In a finite element course, a force-based finite element method can be described along with the traditional displacement-based approach to demonstrate how the two methods provide alternative ways for solving complex structural problems. Serving as a resource for including second-generation force-based methods in solid mechanics courses of an engineering curriculum, and as a robust learning resource, the book is ideal for instructors and for students, practicing engineers, and researchers. Includes separate chapters for statics, strength of materials, advanced strength of materials, and finite elements Incorporates MATLAB for students to implement second-generation force-based methods at many levels within the curriculum Derives the algebraic equations of linear elasticity and uses them to develop the second-generation force-based method.
650 0 $a Elasticity. $3 229098
650 0 $a Algebras, Linear. $3 183087
650 0 $a Mechanics. $3 200022
650 1 4 $a Solid Mechanics. $3 825700
650 2 4 $a Mechanical Statics and Structures. $3 806521
650 2 4 $a Engineering Mechanics. $3 913404
650 2 4 $a Continuum Mechanics. $3 913390
650 2 4 $a Characterization and Analytical Technique. $3 913123
650 2 4 $a Classical Mechanics. $3 769955
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-66174-7
950 $a Engineering (SpringerNature-11647)