Finite element analysis of structures: [principles and praxis]
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Aachen
Shaker
2010
|
| Series: | Berichte aus dem Bauwesen
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 635 S. Ill., graph. Darst. 24 cm, 954 g |
| ISBN: | 9783832293147 |
Staff View
MARC
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| 264 | 1 | |a Aachen |b Shaker |c 2010 | |
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Record in the Search Index
| _version_ | 1804143877576196096 |
|---|---|
| adam_text | CONTENT CONTENT 5 GLOSSARY 11 1 PRINCIPLE OF FINITE ELEMENT METHOD 17
1.1 MATHEMATICAL DEFINITION OF FEM 17 1.2 DEFORMATION VARIANTOF FEM USED
IN PRACTICAL STATICS 18 1.3 MORE GENERAL FORM OF FEM 19 1.4 MATHEMATICAL
FORMULATION OF BOUNDARY ELEMENT METHOD - BEM 22 1.5 PARTIAL
DISCRETISATION OF THE PROBLEM - FINITE LAYER METHOD 22 1.6 IMPACTS OF
CURRENT DIVISION OF LABOUR ON FEM IN PRACTICE 23 2 BASIC TERMS AND
ALGORITHMS OF FINITE ELEMENT METHOD 26 2.1 EXPLANATION OF USED
TERMINOLOGY 26 2.2 EXPLANATION OF THE PROCEDURE ON AN EXAMPLE
DEFORMATION VARIANT OF FEM 27 2.3 INDIVIDUAL STEPS OF DEFORMATION
VARIANT OF FEM 31 2.4 SPECIFICATION OF SELECTED OPERATIONS THAT ARE
USEFUL TO UNDERSTAND FEM TERMS 33 2.5 PRINCIPLE OF VIRTUAL WORK APPLIED
IN FEM PROGRAMS 40 2.6 MAIN OUTCOME FOR THE USERS OF FEM PROGRAMS 45
2.6.1 SELECTING THE ELEMENTS OF THE FEM ANALYSIS MODEL 45 2.6.2
INTERPRETATION OF FEM OUTPUT DATA 49 3 PHYSICAL AXIOMS AND VARIATIONAL
PRINCIPLES OF MORE COMPLEX FEM PROBLEMS 52 3.1 PRINCIPLES OF
APPROXIMATION OF THE SOUGHT DISTRIBUTION OF A QUANTITY IN FEM 52 3.2
ELEMENTARY PRINCIPLES OF PHYSICAL NATURE OF FEM 59 3.3 VARIATIONAL
PRINCIPLES OF MECHANICAL PROBLEMS OF FEM 63 3.3.1 POSITION OF
VARIATIONALPRINCIPLES IN MECHANICS 63 3.3.2 SCALAR, VECTOR AND TENSOR
FIELD IN FEM INPUTS AND OUTPUTS 65 3.3.3 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/1007940719 DIGITALISIERT DURCH CONTENT 4.1.6.2 BRICKS
149 4.1.6.3 TOROID 154 4.1.6.4 SPECIAL 3D ELEMENTS 156 4.1.6.5 SOLID
ELEMENTS RECOMMENDED BY THE AUTHORS 157 4.2 PHYSICAL PROPERTIES OF
ELEMENTS 172 4.2.1 PHYSICAL MODELS OF MATERIALS OF ELEMENTS 172 4.2.2
WHAT IS THE EFFECT OF PHYSICAL PROPERTIES IN FEM ALGORITHMS 178 4.2.2.1
3D CONSTITUTIVE LAWS 178 4.2.2.2 REDUCTION OF THE DIMENSION OF A PROBLEM
180 4.2.2.3 DESCRIPTION OF DEFORMATION IN A REDUCED PROBLEM 184 4.2.2.4
COMPONENTS OF DEFORMATION IN A REDUCED PROBLEM 190 4.2.2.5 PHYSICAL
CONSTANTS OF 2D FEM ELEMENTS 194 4.2.2.6 PHYSICAL CONSTANTS OF ID FEM
ELEMENTS 199 4.2.2.7 PHYSICAL CONSTANTS OF TOROIDS 205 4.2.2.8 GAS
ELEMENTS 205 MODELLING OF STRUCTURES FOR FEM ANALYSIS 207 5.1
INTRODUCTION TO THE THEORY AND PRACTICE OF CREATION OF FEM MODELS 207
5.1.1 PRESENT-DAY APPROACH TO MODELLING OF STRUCTURES AND SOIL
ENVIRONMENT 207 5.1.1.1 OBJECTS AND TERMS 207 5.1.1.2 THE SELECTION OF
AN EFFECTIVE FEM MODEL IN PRACTICE 215 5.1.2 DIMENSIONS OF THE MODEL FOR
FEM ANALYSIS 217 5.1.2.1 THE ID MODELS 222 5.1.2.2 2D MODELS 229 5.1.2.3
SYSTEMS CONSISTING OF ID AND 2D ELEMENTS 236 5.1.3 NUMERICAL STABILITY
OF THE CALCULATION OF FEM MODELS 243 5.1.3.1 DEFECTIVE FEM RESULTS DUE
TO ARITHMETICS 244 5.1.3.2 PRESENT-DAY POSSIBILITIES OF IMPROVING
ARITHMETICS IN FEM CALCULATIONS 252 5.1.4 CONTENT 5.3.6.5 MULTI-CELL
SLABS WITH LINEAR HINGES IN LONGITUDINAL DIRECTION 347 5.3.6.6 OTHER
PLATE TYPES 349 MODELLING OF STRUCTURE-SOIL INTERACTION 351 6.1
INTRODUCTION 351 6.1.1 ORIGIN AND DEVELOPMENT OF THE EFFICIENT SUBSOIL
MODEL 351 6.1.2 THE MAIN IDEAS OF THE EFFICIENT SUBSOIL MODEL 353 6.1.3
THE EFFICIENT STRUCTURE-SOIL INTERACTION MODEL ASSUMING AN ARBITRARY
SHAPE OF STRUCTURE-SOIL INTERFACE 355 6.1.4 SOME REMARKS ABOUT
SOIL-FOUNDATION-STRUCTURE INTERACTION 357 6.2 ENERGY DEFINITION AND
GENERAL THEORY OF THE EFFICIENT SUBSOIL MODEL 361 6.2.1 REDUCTION OF THE
THREE-DIMENSIONAL MODEL TO THE TWO-DIMENSIONAL MODEL 361 6.2.1.1
THREE-DIMENSIONAL MODELS IN GEOMECHANICS 361 6.2.1.2 TWO-DIMENSIONAL
EFFICIENT SUBSOIL MODEL 363 6.2.2 ONE-DIMENSIONAL EFFICIENT SUBSOIL OR
SOIL MEDIUM MODEL 380 6.2.2.1 INTRODUCTION 380 6.2.2.2 AN EXAMPLE OF THE
RELATION BETWEEN THE CONSTANTS OF ONE- AND TWO-DIMENSIONAL MODELS 381
6.2.2.3 BASIC ONE-DIMENSIONAL RELATIONS : 383 6.2.3 THREE-DIMENSIONAL
EFFICIENT SUBSOIL MODEL AS AN IMPROVEMENT ON THE TWO-DIMENSIONAL
MODEL386 6.2.3.1 MAIN IDEA OF THE IMPROVEMENT OF THE TWO-DIMENSIONAL
EFFICIENT SUBSOIL MODEL 386 6.2.3.2 BASIC GEOMETRICAL AND PHYSICAL
RELATIONS 386 6.2.3.3 SOME SPECIAL CASES 392 6.3 THEORY OF PLATES ON THE
EFFICIENT SUBSOIL MODEL 394 6.3.1 INTRODUCTORY COMMENT 394 6.3.2
VARIATIONAL PROBLEM OF THE PLATES ON EFFICIENT SUBSOIL MODEL 395 6.3.2.
CONTENT 7.1.1.4 TENSORS 475 7.1.1.5 TRANSFORMATION OF FINITE ELEMENTS
MATRICES 483 7.1.2 CLASSIFICATION OF NONLINEARITY 488 7.1.3 BASIC
EQUATIONS, EULERIAN AND LAGRANGEAN ELEMENTS 490 7.2 GEOMETRICAL
NONLINEARITY 492 7.2.1 FOUNDATIONAL CONCEPTS 492 7.2.1.1 SYSTEMS OF
COORDINATES IN NONLINEAR MECHANICS 492 7.2.1.2 DEFORMATION GRADIENT 493
7.2.1.3 RATE OF DEFORMATION 495 7.2.2 STRAIN MEASURES 496 7.2.2.1 GREEN
- LAGRANGE STRAIN TENSOR E 499 7.2.2.2 EULER - ALMANSI STRAIN TENSOR E
500 7.2.2.3 LOGARITHMIC STRAIN MEASURE E,, 501 7.2.2.4 INFINITESIMAL
STRAIN TENSORS 502 7.2.2.5 OTHER STRAIN MEASURES 503 7.2.2.6 COMPARISON
OF STRAIN TENSORS 503 7.2.3 STRESS MEASURES 506 7.2.3.1 CAUCHY STRESS O
508 7.2.3.2 NOMINAL STRESS N, FIRST PIOLA - KIRCHHOFF STRESS P 508
7.2.3.3 SECOND PIOLA - KIRCHHOFF STRESS S 508 7.2.3.4 COROTATION STRESS
509 7.2.3.5 KIRCHHOFF STRESS T 509 7.2.3.6 BIOT STRESS T 509 7.2.3.7
TRANSFORMATIONS BETWEEN DIFFERENT TYPES OF STRESS 510 7.2.3.8 OBJECTIVE
STRESS RATE 510 7.2.4 ENERGETICALLY CONJUGATE STRESS AND STRAIN MEASURES
512 7.2.5 TWO FORMULATIONS OF GEOMETRICAL NONLINEARITY IN FEM. 514
7.2.5.1 FORMULATION BASED ON CURRENT CONFIGURATION (UPDATED LAGRANGEAN)
515 7.2.5.2 FORMULATION BASED ON REFERENCE CONFIGURATION (TOTAL
LAGRANGEAN) 523 7. CONTENT 8.3.5 IMPLICIT METHODS 565 8.3.5.1 NEWMARK
METHOD 565 8.3.5.2 WILSON METHOD 567 8.4 NUMERICAL METHODS FOR NONLINEAR
SOLUTION OF STRUCTURE MODELS SUBJECTED TO DYNAMIC LOAD 567 8.4.1
MODIFICATION OF RELATIONS IN MOTION EQUATIONS 568 8.4.2 MODIFICATION OF
RELATIONS BETWEEN DISPLACEMENT, VELOCITY AND ACCELERATION VECTORS 568
8.4.3 VARIANTS OF CONNECTION OF METHODS 570 8.4.3.1 ALGORITHM OF LINEAR
SOLUTION 572 8.4.3.2 VARIANT 1 573 8.4.3.3 VARIANT II 578 8.4.3.4
VARIANT III 578 BENCHMARKS AND ILLUSTRATIVE EXAMPLES 582 9.1 LINEAR
ELASTICITY 582 9.1.1 LI EXAMPLE 552 9.1.2 L2 EXAMPLE 583 9.2 BENDING
WITH THE SHEAR DEFORMATION 584 9.2.1 GENERAL REMARKS 584 9.2.2 BL
EXAMPLE 585 9.2.3 B2 EXAMPLE 585 9.3 GEOMETRIC NONLINEARITY 586 9.3.1
GENERAL REMARKS 586 9.3.2 NL EXAMPLE 586 9.3.3 NL-SHELL EXAMPLE 587
9.3.4 AXIALLY AND TRANSVERSALLY LOADED CANTILEVER BEAM 588 9.3.5 N2
EXAMPLE 591 9.3.6 N2-SHELL EXAMPLE 594 9.4 SUBSOIL 594 9.4.1 GENERAL
REMARKS 594 9.4.2 SOILIN 1 EXAMPLE 595 9.4.3 SOILIN 2 EXAMPLE 597 9.4.4
SOILIN 3 EXAMPLE 600 9.5 CABLES 602 9.5.1 CABLE 1 EXAMPLE 602 9.5.1.
CONTENT 9.10.3 D3 EXAMPLE 617 9.10.4 D4 EXAMPLE 618 LITERATURE 620 10
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:54:39Z |
| institution | BVB |
| isbn | 9783832293147 |
| language | English |
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| oclc_num | 729307877 |
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| owner | DE-83 DE-703 |
| owner_facet | DE-83 DE-703 |
| physical | 635 S. Ill., graph. Darst. 24 cm, 954 g |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus dem Bauwesen |
| spelling | Finite element analysis of structures [principles and praxis] Ivan Němec ... Aachen Shaker 2010 635 S. Ill., graph. Darst. 24 cm, 954 g txt rdacontent n rdamedia nc rdacarrier Berichte aus dem Bauwesen Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Nemec, Ivan 1951- Sonstige (DE-588)120586339 oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021172154&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Finite element analysis of structures [principles and praxis] Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4126904-4 (DE-588)4017233-8 |
| title | Finite element analysis of structures [principles and praxis] |
| title_auth | Finite element analysis of structures [principles and praxis] |
| title_exact_search | Finite element analysis of structures [principles and praxis] |
| title_full | Finite element analysis of structures [principles and praxis] Ivan Němec ... |
| title_fullStr | Finite element analysis of structures [principles and praxis] Ivan Němec ... |
| title_full_unstemmed | Finite element analysis of structures [principles and praxis] Ivan Němec ... |
| title_short | Finite element analysis of structures |
| title_sort | finite element analysis of structures principles and praxis |
| title_sub | [principles and praxis] |
| topic | Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Strukturmechanik Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021172154&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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