KAUST Grant NumberKUK-C1-013-04
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AbstractMorphoelasticity 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. © SAGE Publications 2011.
CitationMcMahon J, Goriely A, Tabor M (2011) Nonlinear morphoelastic plates II: Exodus to buckled states. Mathematics and Mechanics of Solids 16: 833–871. Available: http://dx.doi.org/10.1177/1081286510387234.
SponsorsThis work was supported by the National Science Foundation under grant DMS-0907773. AG also gratefully acknowledges partial support from Award No. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST).