國立高雄大學圖資館 |

Language: English

Back

Virtual element methods in engineering sciences

Record Type:	Electronic resources : Monograph/item
Title/Author:	Virtual element methods in engineering sciencesby Peter Wriggers, Fadi Aldakheel, Blaž Hudobivnik.
Author:	Wriggers, Peter.
other author:	Aldakheel, Fadi.
Published:	Cham :Springer International Publishing :2024.
Description:	xv, 452 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Engineering mathematics.
Online resource:	https://doi.org/10.1007/978-3-031-39255-9
ISBN:	9783031392559$q(electronic bk.)

Virtual element methods in engineering sciences
Wriggers, Peter.

Virtual element methods in engineering sciences[electronic resource] /by Peter Wriggers, Fadi Aldakheel, Blaž Hudobivnik. - Cham :Springer International Publishing :2024. - xv, 452 p. :ill., digital ;24 cm.

Introduction -- Continuum mechanics background -- VEM Ansatz functions and projection for solids -- VEM Ansatz functions and projection for the Poisson equation -- Virtual elements for elasticity problems -- Virtual elements for problems in dynamics -- Virtual element formulation for finite plasticity -- Virtual elements for thermo-mechanical problems -- Virtual elements for fracture processes -- Virtual element formulation for contact -- Virtual elements for homogenization -- Virtual elements for beams and plates.

This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation of coupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.

ISBN: 9783031392559$q(electronic bk.)

Standard No.: 10.1007/978-3-031-39255-9doiSubjects--Topical Terms:

182072
Engineering mathematics.

LC Class. No.: TA330

Dewey Class. No.: 620.00151

Virtual element methods in engineering sciences
LDR:03419nmm a2200325 a 4500 001 660836
003 DE-He213
005 20231028224806.0
006 m d
007 cr nn 008maaau
008 241106s2024 sz s 0 eng d
020 $a 9783031392559$q(electronic bk.)
020 $a 9783031392542$q(paper)
024 7 $a 10.1007/978-3-031-39255-9 $2 doi
035 $a 978-3-031-39255-9
040 $a GP $c GP
041 0 $a eng
050 4 $a TA330
072 7 $a TGB $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a TGB $2 thema
082 0 4 $a 620.00151 $2 23
090 $a TA330 $b .W946 2024
100 1 $a Wriggers, Peter. $3 260736
245 1 0 $a Virtual element methods in engineering sciences $h [electronic resource] / $c by Peter Wriggers, Fadi Aldakheel, Blaž Hudobivnik.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xv, 452 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Continuum mechanics background -- VEM Ansatz functions and projection for solids -- VEM Ansatz functions and projection for the Poisson equation -- Virtual elements for elasticity problems -- Virtual elements for problems in dynamics -- Virtual element formulation for finite plasticity -- Virtual elements for thermo-mechanical problems -- Virtual elements for fracture processes -- Virtual element formulation for contact -- Virtual elements for homogenization -- Virtual elements for beams and plates.
520 $a This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation of coupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.
650 0 $a Engineering mathematics. $3 182072
650 0 $a Mechanics. $3 200022
650 1 4 $a Engineering Mechanics. $3 913404
650 2 4 $a Continuum Mechanics. $3 913390
700 1 $a Aldakheel, Fadi. $3 924863
700 1 $a Hudobivnik, Blaž. $3 972151
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-39255-9
950 $a Engineering (SpringerNature-11647)