A new form of the coherency energy in pseudoelasticity

Atanackovic, T. ; Müller, I.
Springer
Published 1995
ISSN:
1572-9648
Keywords:
Pseudoelasticity ; Coherency ; Hysteresis ; Phase transitions ; Solid mechanics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Physics
Description / Table of Contents:
Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
Notes:
Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
Type of Medium:
Electronic Resource
URL:
_version_ 1798296494167556098
autor Atanackovic, T.
Müller, I.
autorsonst Atanackovic, T.
Müller, I.
book_url http://dx.doi.org/10.1007/BF01557079
datenlieferant nat_lic_papers
hauptsatz hsatz_simple
identnr NLM195144287
issn 1572-9648
journal_name Meccanica
materialart 1
notes Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
package_name Springer
publikationsjahr_anzeige 1995
publikationsjahr_facette 1995
publikationsjahr_intervall 8004:1995-1999
publikationsjahr_sort 1995
publisher Springer
reference 30 (1995), S. 467-474
schlagwort Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
search_space articles
shingle_author_1 Atanackovic, T.
Müller, I.
shingle_author_2 Atanackovic, T.
Müller, I.
shingle_author_3 Atanackovic, T.
Müller, I.
shingle_author_4 Atanackovic, T.
Müller, I.
shingle_catch_all_1 Atanackovic, T.
Müller, I.
A new form of the coherency energy in pseudoelasticity
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
1572-9648
15729648
Springer
shingle_catch_all_2 Atanackovic, T.
Müller, I.
A new form of the coherency energy in pseudoelasticity
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
1572-9648
15729648
Springer
shingle_catch_all_3 Atanackovic, T.
Müller, I.
A new form of the coherency energy in pseudoelasticity
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
1572-9648
15729648
Springer
shingle_catch_all_4 Atanackovic, T.
Müller, I.
A new form of the coherency energy in pseudoelasticity
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Pseudoelasticity
Coherency
Hysteresis
Phase transitions
Solid mechanics
Abstract In some previous papers [1], [2] pseudoelasticity in tensile experiments has been treated thermodynamically under the assumption that the relevant constitutive ingredients are (i) a non-convex free energy; (ii) coherency between the austenitic and martensitic phase. The form of the coherency energy was assumed to be proportional to the product of phase fractions of the two phases. Recently Rogers [3] has proposed a slight variation of this ansatz: The factor of proportionality should depend on the transformation strain. This new form of coherence energy is investigated in this paper. An attractive feature of this new assumption is that the strains of the coexisting phases in equilibrium remain unchanged as the transformation proceeds. The entropy production inside the pseudoelastic hysteresis is explored for various straight (P, d)-curves.
Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
1572-9648
15729648
Springer
shingle_title_1 A new form of the coherency energy in pseudoelasticity
shingle_title_2 A new form of the coherency energy in pseudoelasticity
shingle_title_3 A new form of the coherency energy in pseudoelasticity
shingle_title_4 A new form of the coherency energy in pseudoelasticity
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timestamp 2024-05-06T09:52:59.615Z
titel A new form of the coherency energy in pseudoelasticity
titel_suche A new form of the coherency energy in pseudoelasticity
toc Sommario Nella modellazione delle trasformazioni martensitiche gioca un ruolo essenziale la rappresentazione dell'energia di coerenza tra le fasi. Seguendo una recente proposta di Rogers, in questo lavoro si investiga una forma di tale energia che dipende dalla deformazione di trasformazione.
topic ZL
U
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