Introductory continuum mechanics: with applications to elasticity
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego, CA
Cognella
2013
|
| Edition: | Rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | 191 S. Ill., graph. Darst. |
| ISBN: | 9781621314486 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introductory continuum mechanics |b with applications to elasticity |c by Tariq A. Khraishi and Yu-Lin Shen |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a San Diego, CA |b Cognella |c 2013 | |
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| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Elasticity | |
| 650 | 4 | |a Continuum mechanics / Mathematical models | |
| 650 | 4 | |a Elasticity / Mathematical models | |
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Record in the Search Index
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| adam_text | Contents
Chapter One: Introduction
Defintion of Mechanics
і
What is Continuum?
і
Mathematical Definition of Matter as a Continuum
і
Concept of Stress in a Continuum
4
Chapter Two: Mathematical Preliminaries
Vectors
5
Vector Equations
7
Index (Indicial) Notation and Tensors
7
Translation and Rotation and tensors
15
Further Tensor Comments
22
End-of-Chapter Problems
25
Chapter Three: The Stress Tensor
Stress at a Point
27
The Stress Tensor
31
The Stress Traction on an Arbitrary Plane
33
Normal Stress and shear Stress on an Oblique Plane
35
Stress Transformation
36
Plane Stress
43
Principal Stresses
44
The Meaning of
Invarient
Quantities Under Transformation
50
Octahedral Stress
51
Mean and Deviatoric Stress
52
Mohr s Circle in Three Dimensions
53
Equations of Equilibrium
55
Stresses in Cylindrical Coordinates
59
Stress and Displacement Boundary Conditions
60
End-of-Chpater Problems
63
Chapter Four: Analysis of Deformation
Deformations
65
Strain in a Material
66
The Strain in a Material: Another Look
75
Strain Components in Terms of Displacement
79
Rigid Body Rotation During Displacement
82
Finite Strain Components
83
Infinitesimal strain Components in Cylindrical Coordinates
85
Strain Compatibility Relations
88
Velocity Fields in a Fluid and the Compatibility Condition
94
Chapter Five: Constitutive Equations
Definition
99
H00KEN Elastic Solid
99
Newtonian Fluid
119
End-of-Ch
apter
Problems
123
Chapter Six: Field Equations
Defintion
125
The Equation of Continuity (Conservation of Mass)
125
The Navier-Stokes Equations
128
Chapter Seven: Torsion of Bars
Torsion of a Circular Shaft: A Classic Problem
133
Saint-Venant s Theory of Torsion
138
End-of-Chapter Problems
149
Chapter Eight: Bending of Beams
Comparability Equations for Stresses
15 1
Bending Under Terminal Couples
ϊ53
Bending by Transverse Loading x54
End-Of-Chapter Problems
Chapter Nine: Plane Theory of Elasticity
Plane strain
165
Generalized Plane Stress
166
Compatibility Equations Implied by Fundamental 2D Systems
169
Solution of 2D problems Using Airy Stress Functions
171
Solution by Polynomials
173
Plane Elasticity in Polar Coordinates
176
Axially Symmetric Problems
180
Stress Concentration Near a Circular Hole
182
End-Of-Ch
apter
Problems
189
Appendix
191
INTRODUCTORY CONTINUUM MECHANICS
WITH APPLICATIONS TO ELASTICITY
Introductory Continuum Mechanics with Applications to Elasticity is
α
new kind of textbook: by combining
continuum mechanics with elasticity theory and examples, it consolidates two textbooks into one. Not
only does this save students on traditional book costs, but it also naturally blends these related topics
into a cohesive book.
With unique examples and problem sets, the title also serves as a solid introduction to continuum
mechanics and elasticity. Developed from years of notes and classroom testing, the title is the perfect
blend of content: multi-faceted and challenging, but without drowning the readers in complexity.
Tariq Khraishi is an Associate Professor of Mechanical Engineering at the University
of New Mexico. His research work is in the areas of mechanics and materials science,
as well as in the scholarship of teaching and learning. In particular, he has been
involved in modeling, theoretical and experimental research in biomechanics,
dislocation dynamics, eigenstrain theory and modeling, fracture mechanics,
nanomaterials, composites, irradiation damage in materials, void growth and
interaction in
superplastic
materials, heteroepitaxy and stresses in thin films, as well as
active learning in engineering courses. He is a fellow of
ASME
and has published over
100
refereed works, including another textbook on materials science/engineering.
Yu-Lin Shen is currently a Professor of Mechanical Engineering at the University of
New Mexico. He received his Ph.D. in engineering from Brown University in
1994,
and was a post-doctoral research associate at the Massachusetts Institute of
Technology before joining the faculty of the University of New Mexico in
1
99Ó.
Professor Shen is widely recognized for his research in mechanical behavior of
materials, especially in modeling. His numerical modeling experience spans disparate
length scales from the continuum level down to atomistics, focusing on mechanical
issues related to thin films, composite materials and microelectronic devices, and
packages. In
2005
Professor Shen was elected a fellow of the American Society of
Mechanical Engineers
(ASME). He
is also the author of the book Constrained
Deformation of Materials, published by Springer in
2010.
cognella
u/u/w.cognella.com
800.200.3908
ISBN
Ч7в-1-Ьг1Э1-ЧЧе-Ь
90000
9
I781é2ì
314486
SKU 80402-1B
|
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| discipline | Physik |
| edition | Rev. ed. |
| format | Book |
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| spelling | Khraishi, Tariq A. Verfasser aut Introductory continuum mechanics with applications to elasticity by Tariq A. Khraishi and Yu-Lin Shen Rev. ed. San Diego, CA Cognella 2013 191 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Continuum mechanics Elasticity Continuum mechanics / Mathematical models Elasticity / Mathematical models Mathematisches Modell Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Shen, Yu-Lin Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025422545&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025422545&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Khraishi, Tariq A. Shen, Yu-Lin Introductory continuum mechanics with applications to elasticity Continuum mechanics Elasticity Continuum mechanics / Mathematical models Elasticity / Mathematical models Mathematisches Modell Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4151278-9 |
| title | Introductory continuum mechanics with applications to elasticity |
| title_auth | Introductory continuum mechanics with applications to elasticity |
| title_exact_search | Introductory continuum mechanics with applications to elasticity |
| title_full | Introductory continuum mechanics with applications to elasticity by Tariq A. Khraishi and Yu-Lin Shen |
| title_fullStr | Introductory continuum mechanics with applications to elasticity by Tariq A. Khraishi and Yu-Lin Shen |
| title_full_unstemmed | Introductory continuum mechanics with applications to elasticity by Tariq A. Khraishi and Yu-Lin Shen |
| title_short | Introductory continuum mechanics |
| title_sort | introductory continuum mechanics with applications to elasticity |
| title_sub | with applications to elasticity |
| topic | Continuum mechanics Elasticity Continuum mechanics / Mathematical models Elasticity / Mathematical models Mathematisches Modell Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Continuum mechanics Elasticity Continuum mechanics / Mathematical models Elasticity / Mathematical models Mathematisches Modell Kontinuumsmechanik Einführung |
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