Evaluation of elastic strain energy of spheroidal inclusions with uniform volumetric and shear eigenstrains
- Vienna Univ. of Technology (Austria). Inst. of Light Weight Structures and Aerospace Engineering
- Montanuniversitaet Leoben (Austria). Inst. for Mechanics
The calculation of the elastic strain energy due to a uniform eigenstrain in an inclusion continues to be of high concern for various problems in material science such as nucleation conditions or transformation conditions for the inclusion. It is the main goal of this note to show that very easily programmable equations can be formulated for a general uniform eigenstrain tensor consisting of three different normal and three different shear strains. Although the authors appreciate the recently published results very much, they do not see any necessity to demonstrate in detail specific results since the following derivation presents a consistent way to calculate the specific strain energy in very few steps. Specifically, a modified notation helps to split the usually lengthy expression into a group of easily expressible terms multiplied by the mixed product terms of the normal eigenstrains and the squares of the shear eigenstrains. Since all entities are expressed with respect to a coordinate frame attached to the inclusion any coordinate transformation can be avoided.
- OSTI ID:
- 474222
- Journal Information:
- Scripta Materialia, Vol. 36, Issue 9; Other Information: PBD: 1 May 1997
- Country of Publication:
- United States
- Language:
- English
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