Treatise on classical elasticity: theory and related problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer
2013
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| Series: | Mathematical and analytical techniques with applications to engineering
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| Subjects: | |
| Online Access: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9789400726161 |
| DOI: | 10.1007/978-94-007-2616-1 |
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Record in the Search Index
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| adam_text | TREATISE ON CLASSICAL ELASTICITY
/ TEODORESCU, PETRE P.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1: INTRODUCTION
2: GEOMETRY AND KINEMATICS OF DEFORMATION
3: MECHANICS OF STRESSES
4: MATHEMATICAL MODELS IN MECHANICS OF DEFORMABLE SOLIDS
5: GENERAL EQUATIONS OF THE THEORY OF ELASTICITY. FORMULATION OF
PROBLEMS
6: PRINCIPLES AND GENERAL THEOREMS OF THE THEORY OF ELASTICITY.
COMPUTATION METHODS
7: INTRODUCTION TO THE THEORY OF COSSERAT TYPE BODIES
8: THEORY OF CONCENTRATED LOADS
9: ELASTIC SPACE. ELASTIC HALF-SPACE
10: ELASTIC EIGHTS-SPACE. ELASTIC QUARTER-SPACE
11: ELASTIC PARALLELEPIPED. ELASTIC STRIP. ELASTIC LAYER. THICK PLATE
12: DYNAMICAL PROBLEMS OF ELASTIC BODIES
13: PARTICULAR CASES OF STATES OF STRAIN AND STRESS
14: ANISOTROPIC AND NON-HOMOGENEOUS BODIES
15: INTRODUCTION TO THERMOELASTICITY
16: INTRODUCTION TO LINEAR VISCOELASTICITY
A: APPENDIX
1: ELEMENTS OF TENSOR CALCULUS
2: CURVILINEAR COORDINATES
3: ELEMENTS OF THE THEORY OF DISTRIBUTIONS
4: NOTATIONS AND INTEGRALS
SUBJECT INDEX
NAME INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TREATISE ON CLASSICAL ELASTICITY
/ TEODORESCU, PETRE P.
: 2013
ABSTRACT / INHALTSTEXT
DEFORMABLE SOLIDS HAVE A PARTICULARLY COMPLEX CHARACTER; MATHEMATICAL
MODELING IS NOT ALWAYS SIMPLE AND OFTEN LEADS TO INEXTRICABLE
DIFFICULTIES OF COMPUTATION. ONE OF THE SIMPLEST MATHEMATICAL MODELS
AND, AT THE SAME TIME, THE MOST USED MODEL, IS THAT OF THE ELASTIC BODY
– ESPECIALLY THE LINEAR ONE. BUT, NOTWITHSTANDING ITS SIMPLICITY, EVEN
THIS MODEL OF A REAL BODY MAY LEAD TO GREAT DIFFICULTIES OF COMPUTATION.
THE PRACTICAL IMPORTANCE OF A WORK ABOUT THE THEORY OF ELASTICITY, WHICH
IS ALSO AN INTRODUCTION TO THE MECHANICS OF DEFORMABLE SOLIDS, CONSISTS
OF THE USE OF SCIENTIFIC METHODS OF COMPUTATION IN A DOMAIN IN WHICH
SIMPLIFIED METHODS ARE STILL USED. THIS TREATISE TAKES INTO ACCOUNT THE
CONSIDERATION MADE ABOVE, WITH SPECIAL ATTENTION TO THE THEORETICAL
STUDY OF THE STATE OF STRAIN AND STRESS OF A DEFORMABLE SOLID.THE BOOK
DRAWS ON THE KNOWN SPECIALIZED LITERATURE, AS WELL AS THE ORIGINAL
RESULTS OF THE AUTHOR AND HIS 50+ YEARS EXPERIENCE AS PROFESSOR OF
MECHANICS AND ELASTICITY AT THE UNIVERSITY OF BUCHAREST. THE
CONSTRUCTION OF MATHEMATICAL MODELS IS MADE BY TREATING GEOMETRY AND
KINEMATICS OF DEFORMATION, MECHANICS OF STRESSES AND CONSTITUTIVE LAWS.
ELASTIC, PLASTIC AND VISCOUS PROPERTIES ARE THUS PUT IN EVIDENCE AND THE
CORRESPONDING THEORIES ARE DEVELOPED. SPACE PROBLEMS ARE TREATED AND
VARIOUS PARTICULAR CASES ARE TAKEN INTO CONSIDERATION. NEW SOLUTIONS FOR
BOUNDARY VALUE PROBLEMS OF FINITE AND INFINITE DOMAINS ARE GIVEN AND A
GENERAL THEORY OF CONCENTRATED LOADS IS BUILT. ANISOTROPIC AND
NON-HOMOGENEOUS BODIES ARE STUDIED AS WELL. COSSERAT TYPE BODIES ARE
ALSO MODELED. THE CONNECTION WITH THERMAL AND VISCOUS PHENOMENA WILL BE
CONSIDERED TOO. AUDIENCE: RESEARCHERS IN APPLIED MATHEMATICS, MECHANICAL
AND CIVIL ENGINEERING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| indexdate | 2025-02-20T07:02:45Z |
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| series2 | Mathematical and analytical techniques with applications to engineering |
| spellingShingle | Teodorescu, Petre P. 1929- Treatise on classical elasticity theory and related problems Mathematik Mathematische Physik Mathematics Mathematical physics Mechanics Engineering mathematics Mechanics, applied Physics Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4123124-7 |
| title | Treatise on classical elasticity theory and related problems |
| title_auth | Treatise on classical elasticity theory and related problems |
| title_exact_search | Treatise on classical elasticity theory and related problems |
| title_full | Treatise on classical elasticity theory and related problems Petre P. Teodorescu |
| title_fullStr | Treatise on classical elasticity theory and related problems Petre P. Teodorescu |
| title_full_unstemmed | Treatise on classical elasticity theory and related problems Petre P. Teodorescu |
| title_short | Treatise on classical elasticity |
| title_sort | treatise on classical elasticity theory and related problems |
| title_sub | theory and related problems |
| topic | Mathematik Mathematische Physik Mathematics Mathematical physics Mechanics Engineering mathematics Mechanics, applied Physics Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | Mathematik Mathematische Physik Mathematics Mathematical physics Mechanics Engineering mathematics Mechanics, applied Physics Elastizitätstheorie |
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