Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Karlsruhe
Kernforschungszentrum, Inst. für Reaktorsicherheit
1993
|
| Edition: | Als Ms. gedr. |
| Series: | Kernforschungszentrum <Karlsruhe>: KfK
5193 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 189 S. |
Staff View
MARC
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| 100 | 1 | |a Malmberg, Thilo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |c T. Malmberg |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Karlsruhe |b Kernforschungszentrum, Inst. für Reaktorsicherheit |c 1993 | |
| 300 | |a 189 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Kernforschungszentrum <Karlsruhe>: KfK |v 5193 | |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
PAGE
1.
INTRODUCTION
1
2.
THERMODYNAMICS
ON
THE
BASIS
OF
THE
CLASSICAL
CLAUSIUS-DUHEM
13
ENTROPY
INEQUALITY
AND
THE
COLEMAN-NOLL
ARGUMENT
2.1
STRAIN
AS
AN
INDEPENDENT
EXTERNAL
VARIABLE
13
2.1.1
DERIVATION
OF
THERMODYNAMIC
RESTRICTIONS
FOR
13
A
GENERAL
INTERNAL
VARIABLE
MODEL
2.1.2
REDUCEABILITY
OF
THE
EVOLUTION
EQUATIONS
28
2.1.3
THERMODYNAMICCONSISTENCYOF
STRESS-STRAIN
RELATIONS
37
2.2
STRESS
AS
AN
INDEPENDENT
EXTERNAL
VARIABLE
38
2.2.1
THE
PROBLEM
OF
DERIVATION
OF
GENERAL
RESTRICTIONS
38
2.2.2
REDUCEABILITY
OF
THE
EVOLUTION
EQUATIONS
48
2.2.3
DETERMINATION
OF
TRANSFORMATION
FUNCTIONS
51
2.2.3.1
CASE
III":
G
M
=
0,
H
*
0,
E
MN
=
0
52
2.2.3.2
CASE
II":
G
M
=
0,
H
=
0,
E
MN
*
0
60
2.2.4
THERMODYNAMICCONSISTENCYOF
ASSUMED
STRAIN-STRESS
61
RELATIONS
2.3
EXTENSION
TO
A
CLASS
OF
ELASTIC-VISCOPLASTIC
MATERIAL
MODELS
WITH
76
INTERNAL
VARIABLES
3.
APPLICATIONS
TO
SEVERAL
CONSTITUTIVE
MODELS
85
3.1
THE
ROBINSON
MODEL
85
3.1.1
FORMAL
DESCRIPTION
OF
THE
MODEL
85
3.1.2
EXTENSION
OF
THE
ROBINSON
MODEL
WITHIN
A
89
THERMODYNAMIC
FRAME
3.1.2.1
GENERAL
STRUCTURE
OF
FREE
ENERGY
AND
89
THERMODYNAMIC
RESTRICTIONS
3.1.2.2
CHOICE
OF
FREE
ENERGY
91
3.1.2.3
REDUCEABILITY
OF
THE
EVOLUTION
EQUATIONS
93
3.1.2.4
EVALUATION
OF
THE
INTRINSIC
DISSIPATION
INEQUALITY
97
3.1.2.5
CONCLUSIONS
108
3.2
THE
MODEL
OF
KREMPL
ETAL.
109
3.2.1
FORMAL
DESCRIPTION
OF
THE
MODEL
109
3.2.2
THERMODYNAMIC
CONSISTENCE:
REDUCEABILITY
AND
112
EXISTENCE
OF
A
GIBBS
FUNCTION
3.2.3
THERMODYNAMIC
CONSISTENCE:
DISSIPATION
INEQUALITY
122
3.2.4
CONCLUSIONS
127
PAGE
3.3
TWO
MODELS
CONSIDERED
BY
FREED
ET
AL.
129
3.3.1
GENERAL
FRAME
129
3.3.2
CASE
I
134
3.3.3
CASE
II
141
4.
THERMODYNAMICS
ON
THE
BASIS
OF
AN
EXTENDED
CLAUSIUS-DUHEM
149
ENTROPY
INEQUALITY
4.1
INTRODUCTION
149
4.2
EVALUATION
OF
THE
EXTENDED
CLAUSIUS-DUHEM
ENTROPY
150
INEQUALITY
FOR
VISCOPLASTIC
MATERIAL
MODELS
WITH
EVOLUTION
EQUATIONS
WHICH
CONTAIN
RATES
FOR
EXTERNAL
VARIABLES
4.3
CONCLUSIONS
179
5.
RECAPITULATION
AND
FINAL
REMARKS
180
REFERENCES
183 |
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| id | DE-604.BV008853859 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T01:26:24Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005854836 |
| oclc_num | 75398411 |
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| owner_facet | DE-12 |
| physical | 189 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Kernforschungszentrum, Inst. für Reaktorsicherheit |
| record_format | marc |
| series | Kernforschungszentrum <Karlsruhe>: KfK |
| series2 | Kernforschungszentrum <Karlsruhe>: KfK |
| spelling | Malmberg, Thilo Verfasser aut Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables T. Malmberg Als Ms. gedr. Karlsruhe Kernforschungszentrum, Inst. für Reaktorsicherheit 1993 189 S. txt rdacontent n rdamedia nc rdacarrier Kernforschungszentrum <Karlsruhe>: KfK 5193 Kernforschungszentrum <Karlsruhe>: KfK 5193 (DE-604)BV000904814 5193 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005854836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Malmberg, Thilo Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables Kernforschungszentrum <Karlsruhe>: KfK |
| title | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |
| title_auth | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |
| title_exact_search | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |
| title_full | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables T. Malmberg |
| title_fullStr | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables T. Malmberg |
| title_full_unstemmed | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables T. Malmberg |
| title_short | Thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |
| title_sort | thermodynamic consistency of viscoplastic material models involving external variable rates in the evolution equations for the internal variables |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005854836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000904814 |
| work_keys_str_mv | AT malmbergthilo thermodynamicconsistencyofviscoplasticmaterialmodelsinvolvingexternalvariableratesintheevolutionequationsfortheinternalvariables |