We consider a continuous body which occupies a connected open subset of a
three dimensional Euclidean point space, and we refer to such a subset as a
configuration of the body. We identify an arbitrary configuration as a reference
configuration and denote this by ℜ r .
Let points in ℜ r be labelled by their position vectors X relative to an arbitrarily
chosen origin and let ∂ℜ r denote the boundary of ℜ r . Now suppose that the body is
deformed quasi-statically from ℜ r so that it occupies a new configuration, ℜ say,
with boundary ∂ℜ. We refer to ℜ as the current or deformed configuration of the
body. The deformation is represented by the mapping: ℜ r ! ℜ which takes points
X in ℜ r to points x in ℜ. Thus,
Fig. 28 Effect of the nature of the interface (a) and on the temperature (b) on the Payne effect
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three dimensional Euclidean point space, and we refer to such a subset as a
configuration of the body. We identify an arbitrary configuration as a reference
configuration and denote this by ℜ r .
Let points in ℜ r be labelled by their position vectors X relative to an arbitrarily
chosen origin and let ∂ℜ r denote the boundary of ℜ r . Now suppose that the body is
deformed quasi-statically from ℜ r so that it occupies a new configuration, ℜ say,
with boundary ∂ℜ. We refer to ℜ as the current or deformed configuration of the
body. The deformation is represented by the mapping: ℜ r ! ℜ which takes points
X in ℜ r to points x in ℜ. Thus,
Fig. 28 Effect of the nature of the interface (a) and on the temperature (b) on the Payne effect
226
G. Markovic ´ et al.