Thermodynamics and Kinetics of Phase and Twin Boundaries

Fischer, Franz Dieter; Simha, N.K.

doi:10.1007/3-211-27404-9_4

Cited by 2 publications

(3 citation statements)

References 30 publications

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“…[30]), or the phase boundary in the case of growing crystals in metals (see e.g. [2,3,6,8,9]). In the case of removal of material (e.g.…”

Section: Singular (Or Non-material) Interfaces [Type S]mentioning

confidence: 99%

“…The growth of a bubble inside a liquid in an idealized case is considered in [7]). In [8,9] non-homogeneous jump conditions at singular interfaces are considered. For an application to moving carbonation fronts in concrete we refer to [46][47][48].…”

Section: Interfaces Only With Supplies [Type Ii]mentioning

confidence: 99%

“…They can be met in many situations and applications in physics, mechanics, chemistry, biology covering the behavior of solids, fluids and gases. We exemplarily refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and to the references therein. Two immiscible fluids divided by a thin film, the aforementioned ice melting (Stefan problem; see e.g.…”

Section: Introductionmentioning

confidence: 99%

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Continuous bodies with thermodynamically active singular sharp interfaces

Wolff

Böhm

2016

Mathematics and Mechanics of Solids

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The subject of this comprehensive study is the general (mathematical) modeling of sharp (i.e. two-dimensional) interfaces without and with their own thermodynamical activity. We provide essential tools for the modeling of body-interface systems. Important items of the kinematics of singular (moving) interfaces as well as balance equations at interfaces will be addressed. Problems connected with material representation will be discussed. Special interfacial balances for mass, impulse, angular momentum, energy, mass of a tracer and of entropy will be considered including the discussion of special cases. As an illustrative example, a continuous model for a body with loss of material (e.g. due to mechanical treatment) will be developed in the framework presented.

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“…[30]), or the phase boundary in the case of growing crystals in metals (see e.g. [2,3,6,8,9]). In the case of removal of material (e.g.…”

Section: Singular (Or Non-material) Interfaces [Type S]mentioning

confidence: 99%