Dynamic models for structural plasticity:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
London [u.a.]
Springer
1995
|
| Edition: | Corr. 2. print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXII, 279 S. graph. Darst. |
| ISBN: | 354076013X |
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MARC
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| 020 | |a 354076013X |c kart. : DM 64.00 |9 3-540-76013-X | ||
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| 100 | 1 | |a Stronge, William J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamic models for structural plasticity |c W. J. Stronge and T. X. Yu |
| 250 | |a Corr. 2. print. | ||
| 264 | 1 | |a London [u.a.] |b Springer |c 1995 | |
| 300 | |a XXII, 279 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Plastische Deformation |0 (DE-588)4115572-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Plastizität |0 (DE-588)4046283-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches Modell |0 (DE-588)4150932-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Plastische Deformation |0 (DE-588)4115572-5 |D s |
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| 689 | 1 | 1 | |a Dynamisches Modell |0 (DE-588)4150932-8 |D s |
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| 700 | 1 | |a Yu, Tongxi |d 1941- |e Verfasser |0 (DE-588)11356841X |4 aut | |
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| _version_ | 1807230049873559552 |
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| adam_text |
CONTENTS
LIST
OF
SYMBOLS
.
XVII
1
ELASTOPLASTIC
AND
VISCOPLASTIC
CONSTITUTIVE
RELATIONS
.
1
1.1
STRESS
RESULTANTS
AND
GENERALIZED
STRESS
-
DEFORMATIONS
AND
GENERALIZED
STRAIN
.
1
1.2
PURE
BENDING
OF
RATE-INDEPENDENT
BAR
.
2
1.2.1
KINEMATICS
OF
DEFORMATION
.
2
1.2.2
ELASTIC
CONSTITUTIVE
EQUATION
.
4
1.2.3
STRESS
RESULTANTS
(AXIAL
FORCE
AND
BENDING
MOMENT)
.
4
1.2.4
ELASTIC-PLASTIC
CONSTITUTIVE
EQUATIONS
.
5
1.2.5
ELASTIC-POWER
LAW
HARDENING
CONSTITUTIVE
EQUATIONS
.'.
.
9
1.3
PURE
BENDING
OF
RATE-DEPENDENT
BAR
.
9
1.3.1
STRAIN-RATE
DEPENDENT
CONSTITUTIVE
EQUATIONS
.
9
1.4
INTERACTION
YIELD
FUNCTIONS
AND
ASSOCIATED
PLASTIC
FLOW
.
12
1.4.1
ELASTIC
LIMIT
FOR
BENDING
AND
TENSION
.
12
1.4.2
FULLY
PLASTIC
LIMIT
SURFACE
FOR
BENDING
AND
TENSION
IN
ELASTIC-PERFECTLY
PLASTIC
BAR
.
12
1.4.3
YIELD
AND
FULLY
PLASTIC
STRESS
CONDITION
.
15
1.4.4
ASSOCIATED
FLOW
RULE
FOR
PLASTIC
DEFORMATIONS
.
16
1.4.5
SEPARATED
YIELD
FUNCTIONS
AND
SEPARATED
PLASTIC
FLOW
.
18
1.5
INTERACTION
YIELD
SURFACES
INCLUDING
SHEAR
.
19
1.5.1
TENSION,
SHEAR
AND
BENDING
IN
RECTANGULAR
CROSS-SECTION
.
19
1.5.2
TENSION,
TORSION
AND
BENDING
IN
CIRCULAR
CROSS-SECTION
.
20
1.6
ELASTIC
SPRINGBACK
.
23
1.6.1
PURE
BENDING
.
23
1.6.2
BENDING
AND
TENSION
.
25
REFERENCES
.
27
XII
CONTENTS
2
PRINCIPLES
OF
MECHANICS
.
29
2.1
KINEMATICS
.
29
2.1.1
INERTIA
PROPERTIES
OF
CROSS-SECTION
.
31
2.2
BALANCE
OF
FORCES
.
31
2.2.1
STRESS
RESULTANTS
AND
GENERALIZED
STRESSES
.
31
2.2.2
EQUATIONS
OF
MOTION
.
32
2.3
PRINCIPLE
OF
VIRTUAL
VELOCITY
.
34
2.3.1
RATE
OF
CHANGE
FOR
KINETIC
ENERGY
OF
SYSTEM
.
35
2.3.2 RATE
OF
CHANGE
FOR
KINETIC
ENERGY
OF
KINEMATICALLY
ADMISSIBLE
VELOCITY
FIELD
W
C
.
35
2.3.3
EXTREMAL
PRINCIPLES
FOR
COMPLETE
SOLUTION
.
36
2.4
BOUNDS
FOR
RIGID-PERFECTLY
PLASTIC
SOLIDS
AND
STRUCTURES
.
37
2.4.1
UPPER
AND
LOWER
BOUNDS
ON
STATIC
COLLAPSE
FORCE
.
37
2.4.2 LOWER
BOUND
ON
DYNAMIC
RESPONSE
PERIOD
.
38
2.4.3
UPPER
BOUND
ON
DYNAMIC
RESPONSE
PERIOD
.
39
2.4.4 LOWER
BOUND
ON
FINAL
DISPLACEMENT
.
40
2.4.5
UPPER
BOUND
ON
FINAL
DISPLACEMENT
.
41
2.5
DYNAMIC
MODES
OF
DEFORMATION
.
44
2.5.1
MODAL
SOLUTIONS
.
44
2.5.2
PROPERTIES
OF
MODES
.
44
2.5.3
MODE
APPROXIMATIONS
FOR
STRUCTURAL
RESPONSE
TO
IMPULSIVE
LOADING
.
47
REFERENCES
.
48
3
STATIC
DEFLECTION
.
51
3.1
SMALL
ELASTIC-PLASTIC
DEFLECTIONS
.
51
3.1.1
ELASTIC
DEFLECTIONS
.
52
3.1.2
DEFLECTION
OF
ELASTIC-PERFECTLY
PLASTIC
CANTILEVER
.
54
3.1.3
DEFLECTION
OF
ELASTIC-LINEAR
STRAIN
HARDENING
CANTILEVER
.
55
3.1.4
RESIDUAL
DEFLECTION
AFTER
ELASTIC
UNLOADING
.
58
3.1.5
ELASTOPLASTIC
BEAM-COLUMNS
.
61
3.2
LARGE
ELASTIC-PLASTIC
DEFLECTIONS
.
63
3.2.1
ELASTICA:
LARGE
ELASTIC
DEFLECTION
.
63
3.2.2
PLASTICA:
LARGE
PLASTIC
DEFLECTION
.
67
REFERENCES
.
72
4
DYNAMIC
RIGID-PLASTIC
RESPONSE
.
73
4.1
STEP
LOADING
.
73
4.1.1
STATIC
AND
DYNAMIC
LOADINGS
.
73
4.1.2
MODERATE
DYNAMIC
LOAD
(F
C
F
3F
C
)
.
75
4.1.3
INTENSE
DYNAMIC
LOAD
(F
3F
C
)
.
78
4.2
RECTANGULAR
PULSE
LOADING
.
80
4.2.1
THREE
PHASES
IN
RESPONSE
OF
CANTILEVER
.
80
4.2.2 DEFORMED
SHAPE
.
84
4.2.3
ENERGY
DISSIPATION
.
85
4.2.4
SYNOPSIS
.
87
CONTENTS
XIII
4.3
FEATURES
OF
TRAVELLING
HINGES
.
88
4.4
GENERAL
PULSE
LOADING
.
90
4.4.1
GENERAL
CONSIDERATIONS
.
90
4.4.2
EXAMPLE:
LINEARLY
DECAYING
PULSE
.
93
4.4.3
EQUIVALENT
REPLACEMENT
OF
ARBITRARY
PULSE
.
94
4.5
IMPACT
ON
CANTILEVER
.
96
4.5.1
PROBLEM
AND
ASSUMPTIONS
.
97
4.5.2
CHANGING
PATTERN
OF
DEFORMATION
.
98
4.5.3
ACCELERATION,
FORCE
AND
BENDING
MOMENT
.
101
4.5.4
DEFORMED
SHAPE
.
103
4.5.5
ENERGY
DISSIPATION
.
105
4.5.6
MODAL
APPROXIMATION
.
106
REFERENCES
.
'.
.
110
5
SECOND-ORDER
EFFECTS
ON
DYNAMIC
RESPONSE
.
ILL
5.1
STRAIN-RATE
EFFECT
.
ILL
5.1.1
IMPULSIVE
LOAD
ON
VISCOPLASTIC
CANTILEVER
.
ILL
5.1.2
ELEMENTARY
ESTIMATES
OF
THE
EFFECT
OF
STRAIN-RATE
ON
FINAL
DEFORMATION
.
117
5.2
STRAIN
HARDENING
(STRAIN
SOFTENING)
EFFECT
.
120
5.2.1
INTRODUCTION
.
120
5.2.2
ELEMENTARY
EFFECT
OF
STRAIN
HARDENING
ON
FINAL
DEFORMATION
.
121
5.2.3
DYNAMIC
ANALYSIS
OF
STRAIN
HARDENING
AND
STRAIN
SOFTENING
CANTILEVERS
.
123
5.3
EFFECTS
OF
TRANSVERSE
SHEAR
AND
ROTARY
INERTIA
.
132
5.3.1
INTERFACE
CONDITIONS
FOR
CONCENTRATED
MASS
.
132
5.3.2
SHEAR
DEFORMATION
ADJACENT
TO
COLLIDING
PARTICLE
.
134
5.3.3
SHEAR
AND
ROTARY
INERTIA
OF
FINITE
SIZE
COLLIDING
MISSILE
.
139
5.3.4
SHEAR
RUPTURE
DUE
TO
IMPACT
.
144
5.3.5
MEASUREMENTS
OF
ENERGY
FOR
SHEAR
RUPTURE
.
146
5.4
EFFECT
OF
LARGE
DEFLECTION
.
149
5.4.1
GENERAL
CONSIDERATIONS
.
149
5.4.2
LARGE
DEFLECTION
OF
IMPULSIVELY
LOADED
CANTILEVER
.
150
5.4.3
METHODS
OF
APPROXIMATING
LARGE
DEFLECTION
EFFECTS
.
153
5.4.4
EFFECT
OF
CENTRIPETAL
ACCELERATION
ON
BENDING
MOMENT
DISTRIBUTION
.
155
5.5
EFFECT
OF
ELASTIC
DEFORMATION
.
157
5.5.1
GENERAL
CONSIDERATIONS
.
157
5.5.2
MASS-SPRING
FINITE
DIFFERENCE
STRUCTURAL
MODEL
(MS-FD)
.
158
5.5.3
TIMOSHENKO
BEAM
FINITE
ELEMENT
STRUCTURAL
MODEL
(TB-FE)
.
163
5.5.4
DYNAMIC
DEFORMATION
OF
ELASTIC-PLASTIC
CANTILEVER
FROM
IMPACT
.
164
XIV
CONTENTS
5.5.5
EFFECT
OF
ELASTIC
DEFORMATION
AT
ROOT
OF
CANTILEVER
.
173
5.5.6
REMARKS
.
181
5.6
ACCURACY
OF
RIGID-PLASTIC
ANALYSES
.
182
5.6.1
ACCURACY
OF
RIGID-PLASTIC
ANALYSIS
ESTIMATED
BY
SINGLE
DOF
SYSTEM
.
182
5.6.2
CONVERGENCE
TO
DYNAMIC
PLASTIC
MODE
STUDIED
BY
TWO
DOF
SYSTEM
.
184
5.6.3
REMARKS
.
187
REFERENCES
.
188
6
MORE
COMPLEX
CONFIGURATIONS
.
191
6.1
GENERAL
CONSIDERATIONS
.
192
6.1.1
EXTREMAL
PROPERTIES
OF
YIELD
FUNCTION
AT
PLASTIC
HINGE
.
192
6.1.2
DIFFERENTIABILITY
OF
ARBITRARY
FUNCTIONS
AT
PLASTIC
HINGE
.
193
6.1.3
DIFFERENTIABILITY
OF
KINEMATIC
VARIABLES
AT
PLASTIC
HINGE
.
194
6.1.4
DIFFERENTIABILITY
OF
GENERALIZED
STRESSES
AT
PLASTIC
HINGE
.
196
6.1.5
DIFFERENTIABILITY
OF
YIELD
FUNCTION
AT
PLASTIC
HINGE
.
197
6.2
STRAIGHT
CANTILEVERS
WITH
SMOOTHLY
VARYING
CROSS-SECTIONS
.
199
6.2.1
YIELD
FUNCTION
AND
CONDITIONS
AT
PLASTIC
HINGE
.
199
6.2.2
SUDDENLY
APPLIED
STEADY
FORCE
AT
TIP
OF
TAPERED
CANTILEVER:
AN
EXAMPLE
.
200
6.3
OBLIQUE
IMPACT
ON
STRAIGHT
CANTILEVER
.
204
6.3.1
PROBLEM
AND
ASSUMPTIONS
.
204
6.3.2
FORMULATION
BASED
ON
SINGLE
HINGE
MECHANISM
.
205
6.3.3
SOLUTION
BASED
ON
SINGLE-HINGE
MECHANISM
.
212
6.4
CIRCULAR
ARC
CANTILEVER
SUBJECTED
TO
IN-PLANE
STEP
FORCE
.
215
6.4.1
ENGINEERING
BACKGROUND
AND
ASSUMPTIONS
.
215
6.4.2
RADIAL
FORCE
AT
TIP
.
217
6.4.3
TANGENTIAL
FORCE
AT
TIP
.
221
6.4.4
DISCUSSION
.
223
6.5
CIRCULAR
ARC
CANTILEVER
SUBJECTED
TO
IN-PLANE
IMPACT
.
224
6.5.1
RIGID-PLASTIC
FORMULATION
.
225
6.5.2
DISCUSSION
OF
SOLUTION
.
228
6.5.3
MODAL
APPROXIMATION
.
231
6.6
CIRCULAR
ARC
CANTILEVER
SUBJECTED
TO
OUT-OF-PLANE
STEP
FORCE
.
232
6.6.1
EQUATIONS
OF
MOTION
.
233
6.6.2
SOLUTION
.
235
6.6.3
DISCUSSION
.
240
6.7
STEPPED
OR
BENT
CANTILEVER
SUBJECTED
TO
STEP
FORCE
.
241
CONTENTS
XV
6.7.1
GENERAL
CONSIDERATIONS
.
241
6.7.2
STEPPED
CANTILEVER
.
243
6.7.3
BENT
CANTILEVER
.
246
6.7.4
DISCUSSION
.
249
6.8
CANTILEVER
WITH
AN
INITIAL
CRACK
.
250
6.8.1
GENERAL
CONSIDERATIONS
.
250
6.8.2
IMPACT
ON
CANTILEVER
WITH
AN
INITIAL
CRACK
.
251
6.8.3
CRACK
STABILITY
AFTER
IMPACT
.
254
6.8.4
NUMERICAL
EXAMPLE
AND
DISCUSSION
.
256
REFERENCES
.
257
7
IMPACT
EXPERIMENTS
.
259
7.1
METHODS
OF
APPLYING
DYNAMIC
LOADS
.
259
7.1.1
MISSILE
IMPACT
.
259
7.1.2
EXPLOSIVE
LOADING
.
261
7.1.3
MAGNETOMOTIVE
LOADING
.
261
7.2
TRAVELLING
HINGES
-
FICTION
OR
FACT?
.
262
7.3
ELASTIC
EFFECTS
ON
PLASTIC
DEFORMATION
.
265
7.4
STRAIN
HARDENING
AND
STRAIN-RATE
EFFECTS
.
266
7.4.1
MODE
APPROXIMATIONS
.
266
7.4.2
TRANSIENT
ANALYSIS
INCLUDING
RATE
EFFECTS
.
270
7.5
DYNAMIC
RUPTURE
.
270
7.5.1
LOCATION
AND
MECHANISM
OF
RUPTURE
.
270
7.5.2
MEASUREMENTS
OF
GENERALIZED
STRAIN
AT
RUPTURE
.
272
REFERENCES
.
274
INDEX
.
277 |
| any_adam_object | 1 |
| author | Stronge, William J. Yu, Tongxi 1941- |
| author_GND | (DE-588)11356841X |
| author_facet | Stronge, William J. Yu, Tongxi 1941- |
| author_role | aut aut |
| author_sort | Stronge, William J. |
| author_variant | w j s wj wjs t y ty |
| building | Verbundindex |
| bvnumber | BV010540718 |
| classification_tum | MTA 070f MTA 073f |
| ctrlnum | (OCoLC)455016754 (DE-599)BVBBV010540718 |
| discipline | Physik |
| edition | Corr. 2. print. |
| format | Book |
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| id | DE-604.BV010540718 |
| illustrated | Illustrated |
| indexdate | 2024-08-13T00:28:01Z |
| institution | BVB |
| isbn | 354076013X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007026875 |
| oclc_num | 455016754 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29T |
| owner_facet | DE-91 DE-BY-TUM DE-29T |
| physical | XXII, 279 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| spelling | Stronge, William J. Verfasser aut Dynamic models for structural plasticity W. J. Stronge and T. X. Yu Corr. 2. print. London [u.a.] Springer 1995 XXII, 279 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Plastische Deformation (DE-588)4115572-5 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Plastische Deformation (DE-588)4115572-5 s Dynamisches Modell (DE-588)4150932-8 s DE-604 Plastizität (DE-588)4046283-3 s Yu, Tongxi 1941- Verfasser (DE-588)11356841X aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007026875&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stronge, William J. Yu, Tongxi 1941- Dynamic models for structural plasticity Plastische Deformation (DE-588)4115572-5 gnd Plastizität (DE-588)4046283-3 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4115572-5 (DE-588)4046283-3 (DE-588)4150932-8 |
| title | Dynamic models for structural plasticity |
| title_auth | Dynamic models for structural plasticity |
| title_exact_search | Dynamic models for structural plasticity |
| title_full | Dynamic models for structural plasticity W. J. Stronge and T. X. Yu |
| title_fullStr | Dynamic models for structural plasticity W. J. Stronge and T. X. Yu |
| title_full_unstemmed | Dynamic models for structural plasticity W. J. Stronge and T. X. Yu |
| title_short | Dynamic models for structural plasticity |
| title_sort | dynamic models for structural plasticity |
| topic | Plastische Deformation (DE-588)4115572-5 gnd Plastizität (DE-588)4046283-3 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Plastische Deformation Plastizität Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007026875&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT strongewilliamj dynamicmodelsforstructuralplasticity AT yutongxi dynamicmodelsforstructuralplasticity |