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Thermoelasticity with Thermomechanical Constraints by N.H. Scott is a Engineering article available to read on EtoBox.

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Equations are derived governing the behaviour of small disturbances superimposed on an underlying equilibrium con"guration of a thermoelastic body. The body may be materially inhomogeneous, non-homogeneously prestrained and be subjected to a non-uniform temperature resulting in non-constant-coe$cient partial di!erential equations. These equations are generalized to the case where thermomechanical constraints are present, both deformation-temperature and deformation-entropy constraints. It is known that the "rst of these types of constraints leads to material instabilities and the second does not. By examining nearly constrained materials, and taking an appropriate limit, we "nd that the instabilities associated with deformation-temperature constraints arise because the heat capacity at constant deformation becomes negative whilst deformation-entropy constraints are stable because the same heat capacity remains positive, though tending to zero in the limit of the constraint holding exactly. The ten important moduli of thermoelasticity are examined in the limit of each constraint holding exactly. It is found, for example, that for each type of constraint the heat capacity at constant

Who reads Thermoelasticity with Thermomechanical Constraints?

Author

N.H. Scott

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7462)

Published

2001

Language

EN

Field

Engineering (Physical Sciences)