On shock waves and phase-transition fronts in continua

ARI ◽  
1998 ◽  
Vol 50 (3) ◽  
pp. 141-150 ◽  
Author(s):  
G. A. Maugin
Keyword(s):  
Phase Transition ◽  
Shock Waves ◽  
Transition Fronts

scholarly journals Dynamics of impact-induced phase transition fronts

2003 ◽  
Vol 112 ◽  
pp. 167-170
Author(s):  
A. Berezovski ◽  
G. A. Maugin
Keyword(s):  
Phase Transition ◽  
Transition Fronts

Material Forces: Concepts and Applications

1995 ◽  
Vol 48 (5) ◽  
pp. 213-245 ◽  
Author(s):  
Ge´rard A. Maugin
Keyword(s):  
Phase Transition ◽  
Driving Forces ◽  
Material Balance ◽  
Balance Laws ◽  
Material Forces ◽  
Material Force ◽  
Localized Solutions ◽  
Transition Fronts ◽  
Relevant Material ◽  
Eshelbian Mechanics

The unifying notion of material force which gathers under one vision all types of driving “forces” on defects and smooth or abrupt inhomogeneities in fracture, defect mechanics, elastodynamics (localized solutions) and allied theories such as in electroelasticity, magnetoelasticity, and the propagation of phase transition fronts, is reviewed together with its many faceted applications. The presentation clearly distinguishes between the role played by local physical balance laws in the solution of boundary-value problems and that played by global material balance laws in obtaining the expression of relevant material forces and devising criteria of progress for defects, in a general way. The advances made along this line, which may be referred to as Eshelbian mechanics, are assessed and perpectives are drawn.

scholarly journals Dynamics of discontinuities in elastic solids

2017 ◽  
Vol 25 (7) ◽  
pp. 1416-1428
Author(s):  
Arkadi Berezovski ◽  
Mihhail Berezovski
Keyword(s):  
Phase Transition ◽  
Martensitic Phase ◽  
Singular Set ◽  
Configurational Force ◽  
Elastic Solids ◽  
Main Attention ◽  
Martensitic Phase Transition ◽  
Material Points ◽  
Transition Fronts

The paper is devoted to evolving discontinuities in elastic solids. A discontinuity is represented as a singular set of material points. Evolution of a discontinuity is driven by the configurational force acting at such a set. The main attention is paid to the determination of the velocity of a propagating discontinuity. Martensitic phase transition fronts and brittle cracks are considered as representative examples.

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