Handbook of computational solid mechanics: survey and comparison of contemporary methods
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1998
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 763 S. graph. Darst. |
| ISBN: | 3540628622 |
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| 245 | 1 | 0 | |a Handbook of computational solid mechanics |b survey and comparison of contemporary methods |c Michał Kleiber (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
| 300 | |a XV, 763 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Mécanique appliquée - Informatique |2 ram | |
| 650 | 7 | |a Mécanique appliquée |2 ram | |
| 650 | 4 | |a Mechanics, Applied | |
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| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Kleiber, Michał |d 1946- |e Sonstige |0 (DE-588)120064936 |4 oth | |
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CONTENTS
PART
I
GENERAL
INTRODUCTION
1
1
ON
SOLVING
PROBLEMS
OF
MECHANICS
BY
COMPUTER
METHODS
3
2
BASIC
EQUATIONS
OF
NONLINEAR
SOLID
MECHANICS
5
2.1
INTRODUCTORY
COMMENTS
.
5
2.2
DESCRIPTION
OF
STRAIN
.
5
2.3
STATE
OF
STRESS
.
10
2.4
EQUATIONS
OF
MOTION
.
12
2.5
CONSTITUTIVE
EQUATIONS
.
13
2.6
FUNDAMENTAL
SYSTEM
OF
EQUATIONS
FOR
NONLINEAR
MECHANICS
OF
DEFORMABLE
BODIES
.
15
2.7
VARIATIONAL
FORMULATION
.
18
2.8
HEAT
CONDUCTION
.
22
3
ON
APPROXIMATE
SOLVING
SYSTEMS
OF
DIFFERENTIAL
EQUATIONS
25
REFERENCES
33
PART
II
FINITE
ELEMENT
METHOD
35
1
INTRODUCTION
37
2
SELECTED
TOPICS
FROM
THE
MATHEMATICAL
THEORY
OF
FINITE
ELEMENTS
47
2.1
VARIATIONAL
FORMULATION
.
47
2.2
REGULARITY
OF
THE
SOLUTION.
SOBOLEV
SPACES
.
51
2.3
EXISTENCE,
UNIQUENESS
AND
REGULARITY
RESULTS
.
55
VIII
CONTENTS
2.4
FUNDAMENTAL
NOTIONS
OF
THE
MATHEMATICAL
THEORY
OF
FINITE
ELEMENTS
.
57
2.5
CONVERGENCE
ANALYSIS
FOR
CONFORMING
ELEMENTS.
CEA
'
S
LEMMA
67
2.6
CONVERGENCE
IN
NORM
L
2
.
THE
AUBIN-NITSCHE
ARGUMENT
.
70
2.7
NUMERICAL
INTEGRATION.
STRANG
'
S
FIRST
LEMMA
.
72
2.8
NONCONFORMING
ELEMENTS.
STRANG
'
S
SECOND
LEMMA
.
75
2.9
STEADY
STATE
VIBRATIONS
AS
AN
EXAMPLE
OF
A
NON-COERCIVE
PROB
LEM
.
76
2.10
CONCLUSIONS
.
82
2.10.1
RELAXING
REGULARITY
ASSUMPTIONS
.
82
2.10.2
SUMMARY
.
82
3
FUNDAMENTALS
OF
NONLINEAR
ANALYSIS
85
3.1
SOLID
MECHANICS
PROBLEMS
.
85
3.2
HEAT
CONDUCTION
PROBLEM
.
95
4
PROBLEMS
OF
DYNAMICS
99
4.1
CLASSIFICATION
OF
COMPUTER
METHODS
USED
FOR
ANALYSIS
OF
DY
NAMIC
PROBLEMS
.
99
4.2
FORMULATION
OF
EQUATIONS
OF
MOTION
USING
RIGID
FINITE
ELE
MENT
METHOD
.
101
4.3
EIGENVALUE
PROBLEM
.
110
4.4
FOURIER
TRANSFORMATION
.
117
4.5
NUMERICAL
INTEGRATION
.
121
4.6
THE
MODAL
METHOD
.
124
4.7
VIBRATION
ANALYSIS
OF
SYSTEMS
WITH
CHANGING
CONFIGURATION
.
126
4.8
INVESTIGATION
OF
DYNAMIC
STABILITY
OF
A
LINEAR
SYSTEM
.
140
5
SPACE-TIME
ELEMENT
METHOD
149
5.1
INTRODUCTORY
REMARKS
AND
GENERAL
RELATIONS
.
149
5.2
PRINCIPLE
OF
VIRTUAL
ACTION
.
156
5.3
RECTANGULAR
SPACE-TIME
ELEMENTS
.
157
5.4
NON-RECTANGULAR
SPACE-TIME
ELEMENTS
.
172
5.5
UNCOUPLED
EQUILIBRIUM
EQUATIONS
FOR
IMPULSES
.
176
5.6
NON-STATIONARY
HEAT
FLOW
.
186
6
PLASTICITY
PROBLEMS
201
6.1
FORMS
OF
CONSTITUTIVE
EQUATIONS
.
201
6.1.1
INTRODUCTORY
COMMENTS
.
201
6.1.2
THERMO-ELASTO-PLASTICITY
WITH
ISOTROPIC
HARDENING
.
.
201
6.1.3
MIXED
ISOTROPIC-KINEMATIC
HARDENING
.
208
CONTENTS
IX
6.1.4
CREEP
AND
VISCO-PLASTICITY
.
211
6.1.5
ELASTO-PLASTICITY
WITH
DAMAGE
.
219
6.1.6
LARGE
ELASTIC-PLASTIC
DEFORMATIONS
.
222
6.1.7
RIGID-PLASTICITY
AND
RIGID
VISCO-PLASTICITY
.
224
6.2
SOLVING
PLASTICITY
PROBLEMS
BY
FEM
.
228
6.2.1
BOUNDARY-VALUE
PROBLEM
OF
PLASTICITY
.
.
228
6.2.2
FINITE
ELEMENT
EQUATIONS
.
230
6.2.3
TIME
INTEGRATION
OF
THE
CONSTITUTIVE
EQUATIONS
.
234
6.2.4
THE
CONSISTENT
(ALGORITHMIC)
TANGENT
MATRIX
.
238
6.3
COMPUTATIONAL
ILLUSTRATIONS
.
241
7
STABILITY
PROBLEMS
AND
METHODS
OF
ANALYSIS
OF
FEM
EQUATIONS
253
7.1
REMARKS
ON
STABILITY
ANALYSIS
OF
MECHANICAL
SYSTEMS
EQUILIB
RIUM
STATES
.
253
7.1.1
LOADS
IN
STABILITY
ANALYSIS
OF
MECHANICAL
SYSTEMS
.
.
.
253
7.1.2
EQUILIBRIUM
PATHS
AND
BUCKLING
OF
STRUCTURES
.
254
7.1.3
A
MORE
GENERAL
STABILITY
ANALYSIS
OF
STRUCTURES
.
259
7.1.4
INSTABILITY
UNDER
MULTIPLE
PARAMETER
LOADS
.
261
7.1.5
INSTABILITY
OF
ELASTIC-PLASTIC
SYSTEMS
.
262
7.1.6
FURTHER
REMARKS
.
263
7.2
FEM
EQUATIONS
FOR
STRUCTURAL
STABILITY
.
.
263
7.2.1
GENERALISATION
OF
FE
INCREMENTAL
EQUATIONS
.
264
7.2.2
EIGENPROBLEMS
IN
THE
BUCKLING
ANALYSIS
.
268
7.2.3
EXTENDED
SETS
OF
EQUATIONS
.
272
7.3
SOLUTION
METHODS
FOR
NONLINEAR
FEM
EQUATIONS
.
273
7.3.1
INCREMENTAL
METHODS
.
274
7.3.2
COMPUTATION
OF
EQUILIBRIUM
PATHS
BY
INCREMENTAL
METHODS
.
281
7.3.3
METHODS
OF REDUCED
BASIS
.
289
7.4
INITIAL
BUCKLING
AND
EVALUATION
OF
SOLUTION
OF
NONLINEAR
AND
NONCONSERVATIVE
PROBLEMS
.
293
7.5
NUMERICAL
EXAMPLES
.
297
7.6
FINAL
REMARKS
.
323
REFERENCES
325
PART
III
FINITE
DIFFERENCE
METHOD
335
1
INTRODUCTION
337
1.1
FORMULATION
OF
BOUNDARY-VALUE
PROBLEMS
FOR
FINITE
DIFFERENCE
ANALYSIS
.
338
X
CONTENTS
1.2
FDM
DISCRETIZATION
.
340
1.3
THE
BASIC
FDM
PROCEDURE
.
342
2
THE
CLASSICAL
FDM
345
2.1
DOMAIN
DISCRETIZATION
.
345
2.2
SELECTION
OF
STARS
AND
GENERATION
OF
FD
OPERATORS
.
345
2.3
GENERATION
OF
THE
FD
EQUATIONS
.
350
2.4
IMPOSITION
OF
BOUNDARY
CONDITIONS
.
351
2.5
SOLUTION
OF
SIMULTANEOUS
FD
EQUATIONS
.
355
2.6
POSTPROCESSING
-
EVALUATION
OF
THE
REQUIRED
FINAL
RESULTS
.
.
356
2.7
NUMERICAL
EXAMPLES
.
356
2.8
ADVANTAGES
AND
DISADVANTAGES
OF
THE
CLASSICAL
FDM
.
362
3
CURVILINEAR
FINITE
DIFFERENCE
METHOD
365
3.1
INTRODUCTION
.
365
3.2
CONCEPT
OF
THE
CFD
.
366
3.3
CFD
FORMULAS
FOR
LOCAL
PARTIAL
DERIVATIVES
.
367
3.4
TRANSFORMATION
OF
THE
LOCAL
PARTIAL
DERIVATIVES
TO
THE
GLOBAL
X,Y
PLANE
.
369
3.5
REMARKS
.
370
4
FD
METHOD
GENERALIZED
FOR
ARBITRARY
IRREGULAR
GRIDS
373
4.1
INTRODUCTION
.
373
4.2
BASIC
GFDM
VERSION
.
375
4.2.1
MESH
GENERATION
AND
MODIFICATION,
MESH
TOPOLOGY
DE
TERMINATION
.
375
4.2.2
DOMAIN
PARTITION
INTO
NODAL
SUBDOMAINS
-
VORONOI
TESSALATION
-
DELAUNAY
TRIANGULATION
AND
MESH
TOPO
LOGY
DETERMINATION
.
381
4.2.3
FD
STARS
SELECTION
AND
CLASSIFICATION
.
385
4.2.4
LOCAL
APPROXIMATION
TECHNIQUE
AND
FD
STARS
(SCHE
MES)
GENERATION
.
388
4.2.5
GENERATION
OF
THE
FD
EQUATIONS
.
400
4.2.6
DISCRETIZATION
OF
BOUNDARY
CONDITIONS
.
402
4.2.7
SOLUTION
OF
SIMULTANEOUS
FD
EQUATIONS
.
403
5
ADAPTIVE
GFDM
APPROACH
405
5.1
A
'
POSTERIORI
ERROR
ANALYSIS
.
405
5.2
A
'
POSTERIORI
SOLUTION
SMOOTHING
.
407
5.3
ADAPTIVE
MESH
GENERATION
AND
MODIFICATION
.
408
5.4
HIGHER
ORDER
APPROXIMATION
FD
SOLUTION
APPROACH
.
410
CONTENTS
XI
5.5
MULTIGRID
APPROACH
.
411
5.5.1
PROLONGATION
.
412
5.5.2
RESTRICTION
.
412
5.5.3
NUMERICAL
EXAMPLE
.
413
5.5.4
MULTIGRID
ADAPTIVE
SOLUTION
PROCEDURE
.
415
5.6
REMARKS
.
416
6
ON
MATHEMATICAL
FOUNDATIONS
OF
THE
FDM
FOR
ELLIPTIC
PROBLEMS
417
6.1
FDM
AT
REGULAR
MESHES
.
417
6.2
FINITE
DIFFERENCE
METHOD
AT
IRREGULAR
MESHES
.
420
7
FINAL
REMARKS
423
7.1
MESHLESS
METHODS
.
424
REFERENCES
427
PART
IV
BOUNDARY
ELEMENT
METHOD
433
1
INTRODUCTION
435
2
MATHEMATICAL
FOUNDATIONS
441
2.1
FORMAL
OUTLINE
OF
THE
METHOD
.
441
2.2
ELLIPTIC
EQUATIONS
OF
THE
SECOND
ORDER
.
444
2.3
HIGHER-ORDER
ELLIPTIC
EQUATIONS
.
452
2.4
EXAMPLES
OF
MBIE
APPLICATION
.
454
2.4.1
POISSON
EQUATION
.
454
2.4.2
BIHARMONIC
EQUATIONS
.
456
2.4.3
EQUATIONS
OF
LINEAR
ELASTICITY
.
460
2.5
BEM
AS
FINITE-DIMENSIONAL
APPROXIMATION
OF
MBIE
.
463
2.6
SUPPLEMENT
.
467
3
BEM
IN
LINEAR
THEORY
OF
ELASTICITY
469
3.1
BEM
IN
STATICS
OF
ELASTIC
MEDIUM
.
469
3.1.1
BOUNDARY
INTEGRAL
EQUATIONS
FOR
STATIC
ELASTICITY
.
.
.
469
3.1.2
FINITE-DIMENSIONAL
APPROXIMATION
.
471
3.1.3
PARTICULAR
FORM
OF
VOLUME
FORCES
.
479
3.1.4
BODIES
OF
REVOLUTION
.
481
3.1.5
ANISOTROPIC
AND
HETEROGENEOUS
BODIES
.
482
3.2
BEM
IN
DYNAMICS
OF
ELASTIC
MEDIUM
.
484
XII
CONTENTS
3.2.1
BOUNDARY
INTEGRAL
EQUATIONS
FOR
DYNAMIC
ELASTICITY
.
.
484
3.2.2
TIME
STEP
METHOD
.
486
3.2.3
INTEGRAL
TRANSFORMATION
METHOD
.
488
3.2.4
STEADY-STATE
VIBRATIONS
IN
DYNAMIC
ELASTICITY
.
489
3.2.5
ALTERNATIVE
BEM
FORMULATION
OF
DYNAMIC
THEORY
FOR
ELASTIC
MEDIUM
.
490
3.3
BOUNDARY
ELEMENT
METHOD
IN
THEORY
OF
PLATES
.
493
3.3.1
STATICS
OF
PLATES
.
493
3.3.2
DYNAMICS
OF
PLATES
.
496
3.4
NUMERICAL
EXAMPLES
.
497
4
BEM
IN
NONLINEAR
PROBLEMS
503
4.1
GEOMETRICAL
NONLINEARITIES
.
503
4.2
PHYSICAL
NONLINEARITIES
.
508
4.3
OTHER
NONLINEAR
PROBLEMS
.
515
4.4
NUMERICAL
EXAMPLES
.
522
5
BEM
IN
SYNTHESIS
PROBLEMS
527
5.1
BOUNDARY
ELEMENT
METHOD
IN
OPTIMAL
CONTROL
PROBLEMS
.
.
528
5.1.1
OPTIMAL
CONTROL
OF
CONSTRAINTS
.
529
5.1.2
OPTIMAL
CONTROL
OF
THE
BOUNDARY
.
533
5.2
BOUNDARY
ELEMENT
METHOD
IN
SENSITIVITY
ANALYSIS
.
537
5.2.1
BOUNDARY
ELEMENT
METHOD
IN
SENSITIVITY
ANALYSIS
OF
STATICALLY
LOADED
BODIES
.
538
5.2.2
BOUNDARY
ELEMENT
METHOD
IN
SENSITIVITY
ANALYSIS
OF
DYNAMICALLY
LOADED
BODIES
.
540
5.2.3
DISCRETIZATION
OF
SENSITIVITY
BOUNDARY
INTEGRALS
WITH
BOUNDARY
ELEMENTS
.
542
5.2.4
SENSITIVITY
ANALYSIS
IN
BOUNDARY
SHAPE
OPTIMIZATION
.
545
5.3
NUMERICAL
EXAMPLES
.
547
6
FINAL
REMARKS
551
REFERENCES
555
PART
V
OPTIMIZATION
METHODS
559
1
NUMERICAL
APPROACHES
TO
STRUCTURAL
OPTIMIZATION
561
1.1
INTRODUCTION
.
561
1.2
OPTIMAL
DESIGN
PROBLEM
FORMULATION
.
566
CONTENTS
RIII
1.3
MATHEMATICAL
PROGRAMMING
METHODS
.
568
1.3.1
PROBLEM
STATEMENT
.
568
1.3.2
UNCONSTRAINED
MINIMIZATION
.
572
1.3.3
LINEARLY
CONSTRAINED
MINIMIZATION
PROBLEM
.
580
1.3.4
MINIMIZATION
METHODS
FOR
GENERAL
NONLINEAR
PROGRAM
MING
PROBLEM
587
1.4
OPTIMALITY
CRITERIA
APPROACH
.
595
1.5
CONCLUDING
REMARKS
.
599
2
APPLICATIONS
OF
LINEAR
PROGRAMMING
601
2.1
MAIN
NOTIONS
OF
MATHEMATICAL
PROGRAMMING
.
601
2.2
MATRIX
MODEL
OF
STRUCTURE
.
605
2.2.1
KINEMATICS
AND
EQUILIBRIUM
.
605
2.2.2
CONSTITUTIVE
RELATIONS
-
LINEAR
ELASTIC
MODEL
.
610
2.2.3
CONSTITUTIVE
RELATIONS
-
RIGID-PLASTIC
MODEL
.
611
2.2.4
ELASTIC
ANALYSIS
.
615
2.2.5
ULTIMATE
LOAD
ANALYSIS
.
616
2.3
OPTIMUM
DESIGN
OF
ELASTIC
TRUSSES
.
.
.
619
2.3.1
REQUIREMENTS
OF
CIVIL
ENGINEERING
CODE
.
619
2.3.2
GENERAL
FORMULATION
OF
OPTIMUM
DESIGN
PROBLEM
.
.
.
621
2.3.3
LINEARIZED
PROBLEM
.
624
2.3.4
GRADIENT
MATRICES
.
626
2.3.5
EXAMPLES
.
627
2.4
OPTIMUM
PLASTIC
DESIGN
.
632
2.4.1
ULTIMATE
YIELD
FACTOR
.
632
2.4.2
GENERAL
FORMULATION
OF
OPTIMUM
DESIGN
PROBLEM
.
.
.
634
2.4.3
COEFFICIENTS
OF
VOLUME
FUNCTION
.
636
2.4.4
FORMULATION
IN
REDUNDANT
STRESSES
.
639
2.4.5
EXAMPLES
.
640
3
APPLICATIONS
OF
NONLINEAR
PROGRAMMING
645
3.1
INTRODUCTION
.
645
3.2
DESIGN
OF
MINIMUM
WEIGHT
STRUCTURE
AS
A
NONLINEAR
PROGRAM
MING
PROBLEM
.
645
3.2.1
EQUALITY
CONSTRAINTS
.
646
3.2.2
INEQUALITY
CONSTRAINTS
.
647
3.3
OPTIMALITY
CRITERIA
METHOD
.
648
3.4
EXPLICIT
FORMULATION
OF
KUHN-TUCKER
NECESSARY
CONDITIONS
FOR
MINIMUM
WEIGHT
STRUCTURES
.
650
3.4.1
ESSENCE
OF
THE
METHOD
.
650
3.4.2
MINIMUM
OF
STRUCTURE
WEIGHT
WITH
ACCOUNT
FOR
STATIC,
STABILITY
AND
FREE
VIBRATIONS
PROBLEMS
.
651
3.4.3
SCHEME
OF
THE
SOLUTION
ALGORITHM
.
655
XIV
CONTENTS
3.4.4
NUMERICAL
EXAMPLES
.
656
3.4.5
SOLUTION
SENSITIVITY
TO
VARIATIONS
OF
DESIGN
VARIABLES
.
659
4
DISCRETE
PROGRAMMING
IN
STRUCTURAL
OPTIMIZATION
663
4.1
INTRODUCTORY
REMARKS
.
663
4.2
GRAPH
REPRESENTING
FINITE
NUMBER
OF
ALL
POSSIBLE
STRUCTURE
VOLUMES
.
665
4.3
MINIMUM
WEIGHT
STRUCTURE
MADE
OF
CATALOGUED
MEMBERS:
CONCEPT
OF
AN
ALGORITHM
.
667
4.4
NUMERICAL
EXAMPLES
.
669
REFERENCES
671
PART
VI
METHODS
OF
SENSITIVITY
ANALYSIS
673
1
INTRODUCTION
675
2
CLASSIFICATION
OF
STRUCTURAL
DESIGN
VARIABLES
AND
PARAMETERS
677
3
FUNDAMENTAL
VARIATIONAL
THEOREMS
681
3.1
VIRTUAL
WORK
EQUATION
.
682
3.2
THEOREMS
OF
POTENTIAL
AND
COMPLEMENTARY
ENERGIES
.
683
3.3
MIXED
(HYBRID)
VARIATIONAL
PRINCIPLES
.
687
4
SENSITIVITY
ANALYSIS
FOR
VARYING
MATERIAL
PARAMETERS
689
5
STRUCTURAL
SHAPE
VARIATION
699
5.1
SHAPE
DESCRIPTION
.
699
5.2
VARIATION
OF
VOLUME
AND
SURFACE
INTEGRALS
.
706
5.3
SENSITIVITY
ANALYSIS
WITH
SHAPE
TRANSFORMATION
.
708
6
SENSITIVITY
ANALYSIS
FOR
BEAM
STRUCTURES
713
6.1
FUNDAMENTAL
EQUATIONS
.
713
6.2
SENSITIVITY
OF
POTENTIAL
AND
COMPLEMENTARY
ENERGIES
.
716
6.3
VARIATION
OF
ARBITRARY
FUNCTIONALS
.
722
CONTENTS
XV
7
SENSITIVITY
ANALYSIS
IN
STATIC
AND
DYNAMIC
THERMO-ELASTICITY
727
7.1
STATIC
SENSITIVITY
ANALYSIS
.
727
7.1.1
MATERIAL
PARAMETER
SENSITIVITY
.
728
7.1.2
SENSITIVITY
ANALYSIS
FOR
SHAPE
VARIATION
.
731
7.2
TRANSIENT
AND
DYNAMIC
SENSITIVITY
ANALYSIS
.
735
7.2.1
SENSITIVITY
ANALYSIS
WITH
RESPECT
TO
MATERIAL
PARAMETERS736
7.2.2
SHAPE
SENSITIVITY
ANALYSIS
FOR
TRANSIENT
THERMOME
CHANICAL
PROBLEMS
.
739
7.3
EXAMPLES
.
740
8
NUMERICAL
ASPECTS
OF
SENSITIVITY
ANALYSIS
747
REFERENCES
753
INDEX
757 |
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| id | DE-604.BV011949552 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:22:28Z |
| institution | BVB |
| isbn | 3540628622 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008079021 |
| oclc_num | 38993143 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-703 DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-706 DE-526 DE-634 DE-83 DE-11 |
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| physical | XV, 763 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| spelling | Handbook of computational solid mechanics survey and comparison of contemporary methods Michał Kleiber (ed.) Berlin [u.a.] Springer 1998 XV, 763 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mécanique appliquée - Informatique ram Mécanique appliquée ram Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 s Mathematik (DE-588)4037944-9 s DE-604 Numerisches Verfahren (DE-588)4128130-5 s Kleiber, Michał 1946- Sonstige (DE-588)120064936 oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008079021&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Handbook of computational solid mechanics survey and comparison of contemporary methods Mécanique appliquée - Informatique ram Mécanique appliquée ram Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4129367-8 (DE-588)4128130-5 (DE-588)4037944-9 |
| title | Handbook of computational solid mechanics survey and comparison of contemporary methods |
| title_auth | Handbook of computational solid mechanics survey and comparison of contemporary methods |
| title_exact_search | Handbook of computational solid mechanics survey and comparison of contemporary methods |
| title_full | Handbook of computational solid mechanics survey and comparison of contemporary methods Michał Kleiber (ed.) |
| title_fullStr | Handbook of computational solid mechanics survey and comparison of contemporary methods Michał Kleiber (ed.) |
| title_full_unstemmed | Handbook of computational solid mechanics survey and comparison of contemporary methods Michał Kleiber (ed.) |
| title_short | Handbook of computational solid mechanics |
| title_sort | handbook of computational solid mechanics survey and comparison of contemporary methods |
| title_sub | survey and comparison of contemporary methods |
| topic | Mécanique appliquée - Informatique ram Mécanique appliquée ram Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mécanique appliquée - Informatique Mécanique appliquée Mechanics, Applied Festkörpermechanik Numerisches Verfahren Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008079021&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kleibermichał handbookofcomputationalsolidmechanicssurveyandcomparisonofcontemporarymethods |