an:02076731
Zbl 1090.74610
Healey, T. J.
Material symmetry and chirality in nonlinearly elastic rods
EN
Math. Mech. Solids 7, No. 4, 405-420 (2002).
00090514
2002
j
74K10 74G65
elastic rods; handedness; quadratic energy functionals; dihedral-helical symmetry
This article deals with certain classes of symmetry in straight nonlinearly elastic rods in the presence of a uniform helical microstructure. The author imposes some symmetries in the energy functional of a thin elastic rod. Under the symmetries, he expands it to obtain a quadratic energy functional so that he considers distinction between `hemitropic' and isotropic rods. He states that the hemitropic symmetry causes a coupling between extension and twist of the rod. Using the quadratic energy functionals, he investigates dihedral-helical symmetry of rods.
Shigeki Matsutani (Kanagawa)