| Abstract: | Our concern is with the problem of determining general reduced forms of constitutive equations of Cauchy elastic solids under
all kinds of material symmetries, including well-known crystal classes and newly discovered quasicrystal classes. By means
of Tschebysheff polynomials we present in unified forms simple irreducible representations for elastic constitutive equations
under the infinitely many subgroup classes C
2m+1, C
2m+2, D
2m+1 and D
2m+2 for all m = 1, 2,... Moreover, we provide a simple representation for elastic constitutive equations under the most complicated point
group, i.e. the icosahedral group. Each presented representation is expressed in terms of not more than nine polynomial tensor
generators only.
This revised version was published online in August 2006 with corrections to the Cover Date. |
