Modeling of creep for structural analysis: with 5 tables
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer
2007
|
| Series: | Foundations of engineering mechanics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 199 - 214 |
| Physical Description: | XII, 220 S. graph. Darst. 24 cm |
| ISBN: | 9783540708346 3540708340 |
Staff View
MARC
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| 100 | 1 | |a Naumenko, Konstantin |d 1966- |e Verfasser |0 (DE-588)114484635 |4 aut | |
| 245 | 1 | 0 | |a Modeling of creep for structural analysis |b with 5 tables |c Konstantin Naumenko ; Holm Altenbach |
| 246 | 1 | 3 | |a Foundations of engineering mechanics |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer |c 2007 | |
| 300 | |a XII, 220 S. |b graph. Darst. |c 24 cm | ||
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| 490 | 0 | |a Foundations of engineering mechanics | |
| 500 | |a Literaturverz. S. 199 - 214 | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1
Introduction
.................................................. 1
1.1
Creep Phenomena in Structural Materials
...................... 1
1.1.1
Uni-
Axial Creep
..................................... 1
1.1.2
Multi-
Axial Creep and Stress State Effects
............... 7
1.2
Creep in Engineering Structures
.............................. 11
1.3
Basic Approaches to Creep Modeling
.......................... 15
2
Constitutive Models of Creep
................................. 17
2.1
General Remarks
........................................... 17
2.2
Secondary Creep
...............:........................... 22
2.2.1
Isotropie
Creep
...................................... 23
2.2.1.1
Classical Creep Equations
..................... 23
2.2.1.2
Creep Potentials with Three Invariants
of the Stress Tensor
.......................... 25
2.2.2
Creep of Initially
Anisotropie
Materials
................. 28
2.2.2.1
Classical Creep Equations
..................... 30
2.2.2.2
Non-Classical Creep Equations
................ 38
2.2.3
Functions of Stress and Temperature
.................... 44
2.3
Primary Creep and Creep Transients
........................... 48
2.3.1
Time and Strain Hardening
............................ 50
2.3.2
Kinematic Hardening
................................. 53
2.4
Tertiary Creep and Creep Damage
............................ 60
2.4.1
Scalar-Valued Damage Variables
....................... 62
2.4.1.1
Kachanov-Rabotnov Model
................... 62
2.4.1.2
Micromechanically-Consistent Models
.......... 72
2.4.1.3
Mechanism-Based Models
.................... 75
2
АЛА
Models Based on Dissipation
.................. 77
2.4.2
Damage-Induced Anisotropy
.......................... 78
Contents
Examples of Constitutive Equations for Various Materials
..... 85
3.1
Models of
Isotropie
Creep for Several Alloys
................... 86
3.1.1
Type
316
Steel
...................................... 86
3.1.2
Steel
13СГМО4-5
.................................... 87
3.1.3
Aluminium Alloy D16AT
............................. 87
3.1.4
Aluminium Alloy BS
1472............................ 87
3.2
Model for
Anisotropie
Creep in a Multi-Pass Weld Metal
......... 92
3.2.1
Origins of
Anisotropie
Creep
.......................... 93
3.2.2
Modeling of Secondary Creep
......................... 99
3.2.3
Identification of Material Constants
..................... 100
Modeling of Creep in Structures
..............................103
4.1
General Remarks
...........................................103
4.2
Initial-Boundary Value Problems and General Solution
Procedures
................................................106
4.2.1
Governing Equations
.................................106
4.2.2
Vector-Matrix Representation
..........................108
4.2.3
Numerical Solution Techniques
........................
Ill
4.2.3.1
Time Integration Methods
.....................113
4.2.3.2
Solution of Boundary Value Problems
...........117
4.2.3.3
Variational Formulations and Procedures
........118
4.3
Beams
....................................................122
4.3.1
Classical Beam Theory
...............................122
4.3.2
Closed Form Solution
................................124
4.3.3
Variational Formulation and the
Ritz
Method
.............126
4.3.4
Examples
...........................................128
4.3.4.1
Solutions by the
Ritz
Method
..................128
4.3.4.2
Finite Element Solutions
......................132
4.3.5
Stress State Effects and Cross Section Assumptions
.......138
4.3.6
First Order Shear Deformation Theory
..................138
4.3.7
Example: Refined vs. Classical Beam Theory
.............144
4.4
Plates and Shells
...........................................148
4.4.1
Approaches to the Analysis of Plates and Shells
...........148
4.4.2
Examples
...........................................151
4.4.2.1
Edge Effects in a Moderately Thick Plate
........151
4.4.2.2
Long Term Strength Analysis of a Steam
Transfer Line
...............................161
Contents
XI
A Basic Operations of Tensor Algebra
..........................167
A.
1
Polar and Axial Vectors
.....................................168
A.2 Operations with Vectors
.....................................169
A.2.1 Addition
............................................169
A.2.2 Multiplication by a Scalar
.............................169
A.2.3 Scalar (Dot) Product of Two Vectors
....................170
A.2.4 Vector (Cross) Product of Two Vectors
..................170
A.3 Bases
.....................................................171
A.4 Operations with Second Rank Tensors
.........................172
A.4.1 Addition
............................................172
A.4.2 Multiplication by a Scalar
.............................173
A.4.3 Inner Dot Product
....................................173
A.4.4 Transpose of a Second Rank Tensor
.....................173
A.4.5 Double Inner Dot Product
.............................173
A.4.6 Dot Products of a Second Rank Tensor and a Vector
.......174
A.4.7 Cross Products of a Second Rank Tensor and a Vector
.....174
A.4.8 Trace
..............................................175
A.4.9 Symmetric Tensors
...................................175
A.4.10 Skew-Symmetric Tensors
.............................176
A.4.1
1
Vector Invariant
.....................................176
A.4.
12
Linear Transformations of Vectors
......................176
A.4.
13
Determinant and Inverse of a Second Rank Tensor
........177
A.4.
14
Principal Values and Directions of Symmetric Second
Rank Tensors
.......................................177
A.4.15 Cayley-Hamilton Theorem
............................178
A.4.16 Coordinates of Second Rank Tensors
....................178
A.4.17 Orthogonal Tensors
..................................179
В
Elements of Tensor Analysis
.................................181
B.I Coordinate Systems
........................................181
B.2 Hamilton
(Nabla)
Operator
..................................182
B.3 Integral Theorems
..........................................184
B.4 Scalar-Valued Functions of Vectors and Second Rank Tensors
.....185
ХП
Contents
С
Orthogonal Transformations and Orthogonal Invariants
.......187
Cl
Definitions
................................................187
C.2 Invariants
for the Full
Orthogonal Group
.......................188
C.3 Invariants
for the Transverse
Isotropy Group
....................188
C.3.1 Invariants for a Single Second
Rank Symmetric Tensor
.... 189
C.3.2 Invariants
for a Set of Vectors and
Second
Rank Tensors
... 194
C.4 Invariants for the Orthotropic Symmetry Group
.................196
References
.......................................................199
Index
.............................................................215
|
| adam_txt |
Contents
1
Introduction
. 1
1.1
Creep Phenomena in Structural Materials
. 1
1.1.1
Uni-
Axial Creep
. 1
1.1.2
Multi-
Axial Creep and Stress State Effects
. 7
1.2
Creep in Engineering Structures
. 11
1.3
Basic Approaches to Creep Modeling
. 15
2
Constitutive Models of Creep
. 17
2.1
General Remarks
. 17
2.2
Secondary Creep
.:. 22
2.2.1
Isotropie
Creep
. 23
2.2.1.1
Classical Creep Equations
. 23
2.2.1.2
Creep Potentials with Three Invariants
of the Stress Tensor
. 25
2.2.2
Creep of Initially
Anisotropie
Materials
. 28
2.2.2.1
Classical Creep Equations
. 30
2.2.2.2
Non-Classical Creep Equations
. 38
2.2.3
Functions of Stress and Temperature
. 44
2.3
Primary Creep and Creep Transients
. 48
2.3.1
Time and Strain Hardening
. 50
2.3.2
Kinematic Hardening
. 53
2.4
Tertiary Creep and Creep Damage
. 60
2.4.1
Scalar-Valued Damage Variables
. 62
2.4.1.1
Kachanov-Rabotnov Model
. 62
2.4.1.2
Micromechanically-Consistent Models
. 72
2.4.1.3
Mechanism-Based Models
. 75
2
АЛА
Models Based on Dissipation
. 77
2.4.2
Damage-Induced Anisotropy
. 78
Contents
Examples of Constitutive Equations for Various Materials
. 85
3.1
Models of
Isotropie
Creep for Several Alloys
. 86
3.1.1
Type
316
Steel
. 86
3.1.2
Steel
13СГМО4-5
. 87
3.1.3
Aluminium Alloy D16AT
. 87
3.1.4
Aluminium Alloy BS
1472. 87
3.2
Model for
Anisotropie
Creep in a Multi-Pass Weld Metal
. 92
3.2.1
Origins of
Anisotropie
Creep
. 93
3.2.2
Modeling of Secondary Creep
. 99
3.2.3
Identification of Material Constants
. 100
Modeling of Creep in Structures
.103
4.1
General Remarks
.103
4.2
Initial-Boundary Value Problems and General Solution
Procedures
.106
4.2.1
Governing Equations
.106
4.2.2
Vector-Matrix Representation
.108
4.2.3
Numerical Solution Techniques
.
Ill
4.2.3.1
Time Integration Methods
.113
4.2.3.2
Solution of Boundary Value Problems
.117
4.2.3.3
Variational Formulations and Procedures
.118
4.3
Beams
.122
4.3.1
Classical Beam Theory
.122
4.3.2
Closed Form Solution
.124
4.3.3
Variational Formulation and the
Ritz
Method
.126
4.3.4
Examples
.128
4.3.4.1
Solutions by the
Ritz
Method
.128
4.3.4.2
Finite Element Solutions
.132
4.3.5
Stress State Effects and Cross Section Assumptions
.138
4.3.6
First Order Shear Deformation Theory
.138
4.3.7
Example: Refined vs. Classical Beam Theory
.144
4.4
Plates and Shells
.148
4.4.1
Approaches to the Analysis of Plates and Shells
.148
4.4.2
Examples
.151
4.4.2.1
Edge Effects in a Moderately Thick Plate
.151
4.4.2.2
Long Term Strength Analysis of a Steam
Transfer Line
.161
Contents
XI
A Basic Operations of Tensor Algebra
.167
A.
1
Polar and Axial Vectors
.168
A.2 Operations with Vectors
.169
A.2.1 Addition
.169
A.2.2 Multiplication by a Scalar
.169
A.2.3 Scalar (Dot) Product of Two Vectors
.170
A.2.4 Vector (Cross) Product of Two Vectors
.170
A.3 Bases
.171
A.4 Operations with Second Rank Tensors
.172
A.4.1 Addition
.172
A.4.2 Multiplication by a Scalar
.173
A.4.3 Inner Dot Product
.173
A.4.4 Transpose of a Second Rank Tensor
.173
A.4.5 Double Inner Dot Product
.173
A.4.6 Dot Products of a Second Rank Tensor and a Vector
.174
A.4.7 Cross Products of a Second Rank Tensor and a Vector
.174
A.4.8 Trace
.175
A.4.9 Symmetric Tensors
.175
A.4.10 Skew-Symmetric Tensors
.176
A.4.1
1
Vector Invariant
.176
A.4.
12
Linear Transformations of Vectors
.176
A.4.
13
Determinant and Inverse of a Second Rank Tensor
.177
A.4.
14
Principal Values and Directions of Symmetric Second
Rank Tensors
.177
A.4.15 Cayley-Hamilton Theorem
.178
A.4.16 Coordinates of Second Rank Tensors
.178
A.4.17 Orthogonal Tensors
.179
В
Elements of Tensor Analysis
.181
B.I Coordinate Systems
.181
B.2 Hamilton
(Nabla)
Operator
.182
B.3 Integral Theorems
.184
B.4 Scalar-Valued Functions of Vectors and Second Rank Tensors
.185
ХП
Contents
С
Orthogonal Transformations and Orthogonal Invariants
.187
Cl
Definitions
.187
C.2 Invariants
for the Full
Orthogonal Group
.188
C.3 Invariants
for the Transverse
Isotropy Group
.188
C.3.1 Invariants for a Single Second
Rank Symmetric Tensor
. 189
C.3.2 Invariants
for a Set of Vectors and
Second
Rank Tensors
. 194
C.4 Invariants for the Orthotropic Symmetry Group
.196
References
.199
Index
.215 |
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| author | Naumenko, Konstantin 1966- Altenbach, Holm 1956- |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
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| dewey-sort | 3620.11233015118 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik |
| discipline_str_mv | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| id | DE-604.BV022957766 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:03:30Z |
| indexdate | 2024-07-09T21:08:33Z |
| institution | BVB |
| isbn | 9783540708346 3540708340 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016162176 |
| oclc_num | 315393471 |
| open_access_boolean | |
| owner | DE-898 DE-BY-UBR DE-703 DE-573 |
| owner_facet | DE-898 DE-BY-UBR DE-703 DE-573 |
| physical | XII, 220 S. graph. Darst. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series2 | Foundations of engineering mechanics |
| spelling | Naumenko, Konstantin 1966- Verfasser (DE-588)114484635 aut Modeling of creep for structural analysis with 5 tables Konstantin Naumenko ; Holm Altenbach Foundations of engineering mechanics Berlin ; Heidelberg ; New York Springer 2007 XII, 220 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 199 - 214 Kriechen (DE-588)4131134-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Kriechen (DE-588)4131134-6 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Altenbach, Holm 1956- Verfasser (DE-588)121656837 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016162176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Naumenko, Konstantin 1966- Altenbach, Holm 1956- Modeling of creep for structural analysis with 5 tables Kriechen (DE-588)4131134-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4131134-6 (DE-588)4114528-8 |
| title | Modeling of creep for structural analysis with 5 tables |
| title_alt | Foundations of engineering mechanics |
| title_auth | Modeling of creep for structural analysis with 5 tables |
| title_exact_search | Modeling of creep for structural analysis with 5 tables |
| title_exact_search_txtP | Modeling of creep for structural analysis with 5 tables |
| title_full | Modeling of creep for structural analysis with 5 tables Konstantin Naumenko ; Holm Altenbach |
| title_fullStr | Modeling of creep for structural analysis with 5 tables Konstantin Naumenko ; Holm Altenbach |
| title_full_unstemmed | Modeling of creep for structural analysis with 5 tables Konstantin Naumenko ; Holm Altenbach |
| title_short | Modeling of creep for structural analysis |
| title_sort | modeling of creep for structural analysis with 5 tables |
| title_sub | with 5 tables |
| topic | Kriechen (DE-588)4131134-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Kriechen Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016162176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT naumenkokonstantin modelingofcreepforstructuralanalysiswith5tables AT altenbachholm modelingofcreepforstructuralanalysiswith5tables AT naumenkokonstantin foundationsofengineeringmechanics AT altenbachholm foundationsofengineeringmechanics |