Introduction to nonlinear thermomechanics: theory and finite-element solutions
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
Springer
1992
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 187 S. graph. Darst. |
| ISBN: | 0387197036 3540197036 |
Staff View
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| adam_text | CONTENTS PART I. BASIC CONSIDERATIONS AND NOTIONS 1 A STATE OF STRESS
AND STRAIN 3 1.1 STRESS 3 1.2 STRAIN 8 2 FINITE STRAINS 12 2.1 FINITE
STRAIN TENSOR IN MATERIAL AND SPATIAL DESCRIPTIONS 12 2.2 DEFORMATION
RATE TENSOR 19 2.3 STRESS MEASURES 24 2.4 FINAL REMARKS 26 3 TEMPERATURE
27 3.1 HEAT CONDUCTION 27 3.2 HEAT CONVECTION 28 3.3 HEAT RADIATION 29
3.4 TEMPERATURE FIELD IN A HEAT-CONDUCTING BODY 30 3.5 NAVIER-STOKES
EQUATION 33 4 THERMODYNAMICAL CONSIDERATIONS 35 4.1 THERMOMECHANICAL
PROCESS 35 4.2 FORMULATION OF THE CONSTITUTIVE LAW 36 PART II.
FUNDAMENTALS OF ELASTICITY AND PLASTICITY THEORY 5 STRESS-STRAIN CURVE
45 6 ELASTICITY 48 7 PLASTICITY 50 7.1 IDEALIZATION OF TENSION TEST 50
7.2 IDEAL PLASTICITY THEORIES 52 7.2.1 YIELD CRITERIA 52 7.2.2
HENCKY-ILJUSZYN DEFORMATION THEORY 53 7.2.3 PLASTIC FLOW THEORY 55 7.2.4
COMPARISON OF FLOW THEORY AND DEFORMATION THEORY 56 7.2.5 IDEAL
PLASTICITY THEORY FOR FINITE DEFORMATIONS . . 58 8 WORK-HARDENING
EQUATION 60 8.1 DRUCKER POSTULATE 60 8.1.1 STABILITY OF PLASTIC MATERIAL
IN THE DRUCKER SENSE. 60 8.1.2 ASSOCIATED PLASTIC FLOW 61 8.2 YIELD
SURFACES FOR WORK-HARDENING MATERIALS 63 8.2.1 EXPERIMENTAL RESULTS 63
8.2.2 ISOTROPIC HARDENING 65 8.2.3 KINEMATIC HARDENING 66 PART III.
SMALL STRAIN THERMO-ELASTO- PLASTICITY 9 EQUATIONS FOR
THERMO-ELASTO-PLASTICITY 73 9.1 ISOTROPIC HARDENING 73 9.2 KINEMATIC
HARDENING 76 9.3 ELASTO-VISCO-PLASTICITY 78 10 FINITE-ELEMENT SOLUTION
80 10.1 FINITE-ELEMENT SOLUTION OF HEAT FLOW EQUATIONS 80 10.1.1
WEIGHTED RESIDUAL METHOD 80 10.1.2 VARIATIONAL FORMULATION 82 10.1.3
TIME INTEGRATION SCHEMES FOR NONLINEAR HEAT CONDUCTION 84 10.1.4
STABILITY ANALYSIS 88 10.2 FINITE-ELEMENT SOLUTION OF NAVIER-STOKES
EQUATIONS 90 10.3 MODELLING OF THE PHASE CHANGE PROCESS 92 10.4 EXAMPLES
OF THERMAL PROBLEMS 94 10.4.1 HEAT FLOW WITH PHASE CHANGE 94 10.4.2
NAVIER-STOKES EQUATIONS 97 10.5 FINITE-ELEMENT SOLUTION OF
THERMO-ELASTO-PLASTIC PROBLEMS 100 10.5.1 VARIATIONAL FORMULATION 100
10.5.2 INTEGRATION 104 10.5.3 METHODS OF ITERATIVE ACCUMULATION 105
10.5.4 TANGENT STIFFNESS MATRICES 106 10.6 EXAMPLES OF
THERMO-ELASTO-PLASTIC ANALYSES 107 PART IV. CREEP 11 THEORETICAL
BACKGROUND TO CREEP 117 11.1 CREEP AND RELAXATION TESTS 117 11.2 CREEP
AT CONSTANT UNIAXIAL STRESS 117 11.2.1 TIME FUNCTIONS 117 11.2.2 STRESS
FUNCTIONS 119 11.2.3 TEMPERATURE FUNCTIONS .119 11.2.4 STRESS AND TIME
FUNCTIONS 120 11.3 CREEP THEORIES WITH TIME-DEPENDENT UNIAXIAL STRESS
120 11.3.1 TOTAL STRAIN THEORY 120 11.3.2 TIME HARDENING THEORY 121
11.3.3 STRAIN HARDENING THEORY 121 11.3.4 HEREDITY THEORY 123 11.4 CREEP
THEORIES IN COMPLEX STRESS STATE 124 11.4.1 CREEP THEORY OF
DEFORMATIONAL TYPE 124 11.4.2 FLOW THEORIES AND CREEP POTENTIAL 124
11.4.3 GENERALIZATION OF STRAIN HARDENING THEORY. . . 126 12 CREEP
RUPTURE 128 12.1 EXPERIMENTAL STUDIES 128 12.2 DUCTILE RUPTURE THEORIES
129 12.3 BRITTLE RUPTURE THEORIES 131 12.4 RUPTURE OF MIXED TYPE 132 13
CONSTITUTIVE EQUATIONS FOR THERMO-ELASTO-PLASTIC AND CREEP ANALYSIS 134
14 FINITE-ELEMENT FORMULATION 135 14.1 MATRIX EQUATION FOR
THERMO-ELASTO-PLASTIC AND CREEP PROBLEMS 135 14.2 REMARKS ON SOLUTION
PROCEDURES 136 14.3 EXAMPLES 139 PART V. FINITE STRAINS 15 FINITE STRAIN
MODELS 151 16 CONSTITUTIVE EQUATIONS 152 16.1 NON-ISOTHERMAL PLASTIC
FLOW 152 16.2 MULTIPLICATIVE DECOMPOSITION OF THE DEFORMATION GRADIENT
155 17 FINITE-ELEMENT FORMULATION FOR NON-ISOTHERMAL PLASTIC FLOW 157
17.1 TOTAL LAGRANGE FORMULATION 157 17.2 UPDATED LAGRANGE AND UPDATED
LAGRANGE-JAUMANN FORMULATIONS 158 17.3 UPDATED LAGRANGE-HUGHES
FORMULATION 160 PART VI. COUPLED THERMO-PLASTICITY 18 EQUATIONS OF
COUPLED THERMO-PLASTICITY 163 18.1 HEAT TRANSFER EQUATIONS 163 18.2
FINITE-ELEMENT FORMULATION FOR THE HEAT FLOW EQUATION 165 18.3 INTERNAL
DISSIPATION FUNCTION 166 18.4 STRESS-STRAIN RELATIONS IN COUPLED THERMO
PLASTICITY 167 18.4.1 THERMO-ELASTO-PLASTIC MODEL BASED ON ADDITIVE
DECOMPOSITION OF STRAIN 167 18.4.2 THERMO-RIGID PLASTIC AND THERMO-RIGID
VISCO-PLASTIC MODELS 168 18.4.3 REMARKS ON OTHER MODELS 169 18.5 COUPLED
THERMOMECHANICAL ALGORITHM 169 18.6 EXAMPLES 170 REFERENCES AND FURTHER
READING 177 SUBJECT INDEX 185
|
| any_adam_object | 1 |
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| bvnumber | BV004739234 |
| callnumber-first | Q - Science |
| callnumber-label | QC311 |
| callnumber-raw | QC311.2 |
| callnumber-search | QC311.2 |
| callnumber-sort | QC 3311.2 |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
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| dewey-search | 620.1/121 |
| dewey-sort | 3620.1 3121 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV004739234 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:17:00Z |
| institution | BVB |
| isbn | 0387197036 3540197036 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002916643 |
| oclc_num | 23869862 |
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| physical | X, 187 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| spelling | Służalec, Andrzej Verfasser aut Introduction to nonlinear thermomechanics theory and finite-element solutions Andrzej Służalec London u.a. Springer 1992 X, 187 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nonlinear mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd rswk-swf Thermische Belastung (DE-588)4059816-0 gnd rswk-swf Werkstoff (DE-588)4065579-9 gnd rswk-swf Thermomechanische Eigenschaft (DE-588)4194417-3 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Werkstoffbeanspruchung (DE-588)4281726-2 gnd rswk-swf Festigkeitslehre (DE-588)4016917-0 gnd rswk-swf Werkstoffbeanspruchung (DE-588)4281726-2 s Thermische Belastung (DE-588)4059816-0 s Thermomechanische Eigenschaft (DE-588)4194417-3 s DE-604 Festigkeitslehre (DE-588)4016917-0 s Nichtlineare Mechanik (DE-588)4042095-4 s Thermodynamik (DE-588)4059827-5 s Nichtlineares System (DE-588)4042110-7 s Werkstoff (DE-588)4065579-9 s DE-188 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002916643&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Służalec, Andrzej Introduction to nonlinear thermomechanics theory and finite-element solutions Nonlinear mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd Thermische Belastung (DE-588)4059816-0 gnd Werkstoff (DE-588)4065579-9 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Werkstoffbeanspruchung (DE-588)4281726-2 gnd Festigkeitslehre (DE-588)4016917-0 gnd |
| subject_GND | (DE-588)4059827-5 (DE-588)4059816-0 (DE-588)4065579-9 (DE-588)4194417-3 (DE-588)4042110-7 (DE-588)4042095-4 (DE-588)4281726-2 (DE-588)4016917-0 |
| title | Introduction to nonlinear thermomechanics theory and finite-element solutions |
| title_auth | Introduction to nonlinear thermomechanics theory and finite-element solutions |
| title_exact_search | Introduction to nonlinear thermomechanics theory and finite-element solutions |
| title_full | Introduction to nonlinear thermomechanics theory and finite-element solutions Andrzej Służalec |
| title_fullStr | Introduction to nonlinear thermomechanics theory and finite-element solutions Andrzej Służalec |
| title_full_unstemmed | Introduction to nonlinear thermomechanics theory and finite-element solutions Andrzej Służalec |
| title_short | Introduction to nonlinear thermomechanics |
| title_sort | introduction to nonlinear thermomechanics theory and finite element solutions |
| title_sub | theory and finite-element solutions |
| topic | Nonlinear mechanics Thermodynamics Thermodynamik (DE-588)4059827-5 gnd Thermische Belastung (DE-588)4059816-0 gnd Werkstoff (DE-588)4065579-9 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Werkstoffbeanspruchung (DE-588)4281726-2 gnd Festigkeitslehre (DE-588)4016917-0 gnd |
| topic_facet | Nonlinear mechanics Thermodynamics Thermodynamik Thermische Belastung Werkstoff Thermomechanische Eigenschaft Nichtlineares System Nichtlineare Mechanik Werkstoffbeanspruchung Festigkeitslehre |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002916643&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT słuzalecandrzej introductiontononlinearthermomechanicstheoryandfiniteelementsolutions |