東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Introduction to non-linear mechanics = a unified energetical approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to non-linear mechanics/ by Claude Stolz.
Reminder of title:	a unified energetical approach /
Author:	Stolz, Claude.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xv, 334 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Chapter 1. Introduction -- Chapter 2. Non-linear and linear elasticity -- Chapter 3. Elasto-plasticity -- Chapter 4. Fracture Mechanics -- Chapter 5. Moving Discontinuities -- Chapter 6. Damage modelling and initiation of defect -- Chapter 7. A thermodynamical approach to contact wear -- Chapter 8. Delamination of laminates -- Chapter 9. Micro-macro relations -- Chapter 10. Homogenization in linear elasticity -- Chapter 11. Optimal control and non linear inverse problems -- Chapter 12. Conclusion.
Contained By:	Springer Nature eBook
Subject:	Nonlinear mechanics. -
Online resource:	https://doi.org/10.1007/978-3-031-51920-8
ISBN:	9783031519208

Introduction to non-linear mechanics = a unified energetical approach /
Stolz, Claude.

Introduction to non-linear mechanicsa unified energetical approach /[electronic resource] :by Claude Stolz. - Cham :Springer International Publishing :2024. - xv, 334 p. :ill. (some col.), digital ;24 cm. - Springer series in solid and structural mechanics,v. 142195-352X ;. - Springer series in solid and structural mechanics ;v. 14..

Chapter 1. Introduction -- Chapter 2. Non-linear and linear elasticity -- Chapter 3. Elasto-plasticity -- Chapter 4. Fracture Mechanics -- Chapter 5. Moving Discontinuities -- Chapter 6. Damage modelling and initiation of defect -- Chapter 7. A thermodynamical approach to contact wear -- Chapter 8. Delamination of laminates -- Chapter 9. Micro-macro relations -- Chapter 10. Homogenization in linear elasticity -- Chapter 11. Optimal control and non linear inverse problems -- Chapter 12. Conclusion.

This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative.

ISBN: 9783031519208

Standard No.: 10.1007/978-3-031-51920-8doiSubjects--Topical Terms:

546279
Nonlinear mechanics.

LC Class. No.: QA808

Dewey Class. No.: 531

Introduction to non-linear mechanics = a unified energetical approach /
LDR:02923nmm a2200337 a 4500 001 2369293
003 DE-He213
005 20240229084148.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031519208 $q (electronic bk.)
020 $a 9783031519192 $q (paper)
024 7 $a 10.1007/978-3-031-51920-8 $2 doi
035 $a 978-3-031-51920-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA808
072 7 $a PHD $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 531 $2 23
090 $a QA808 $b .S876 2024
100 1 $a Stolz, Claude. $3 900210
245 1 0 $a Introduction to non-linear mechanics $h [electronic resource] : $b a unified energetical approach / $c by Claude Stolz.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xv, 334 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer series in solid and structural mechanics, $x 2195-352X ; $v v. 14
505 0 $a Chapter 1. Introduction -- Chapter 2. Non-linear and linear elasticity -- Chapter 3. Elasto-plasticity -- Chapter 4. Fracture Mechanics -- Chapter 5. Moving Discontinuities -- Chapter 6. Damage modelling and initiation of defect -- Chapter 7. A thermodynamical approach to contact wear -- Chapter 8. Delamination of laminates -- Chapter 9. Micro-macro relations -- Chapter 10. Homogenization in linear elasticity -- Chapter 11. Optimal control and non linear inverse problems -- Chapter 12. Conclusion.
520 $a This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative.
650 0 $a Nonlinear mechanics. $3 546279
650 1 4 $a Continuum Mechanics. $3 3538810
650 2 4 $a Thermodynamics. $3 517304
650 2 4 $a Materials Fatigue. $3 3591900
650 2 4 $a Solid Mechanics. $3 3381524
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Metals and Alloys. $3 3591895
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer series in solid and structural mechanics ; $v v. 14. $3 3713846
856 4 0 $u https://doi.org/10.1007/978-3-031-51920-8
950 $a Physics and Astronomy (SpringerNature-11651)