Nonlinear morphoelastic plates II: Exodus to buckled states

作者:McMahon Joseph; Goriely Alain*; Tabor Michael
来源:Mathematics and Mechanics of Solids, 2011, 16(8): 833-871.
DOI:10.1177/1081286510387234

摘要

Morphoelasticity is the theory of growing elastic materials. The theory is based on the multiplicative decomposition of the deformation gradient and provides a formulation of the deformation and stresses induced by growth. Following a companion paper, a general theory of growing non-linear elastic Kirchhoff plate is described. First, a complete geometric description of incompatibility with simple examples is given. Second, the stability of growing Kirchhoff plates is analyzed.

  • 出版日期2011-11