In this work we introduce a DG framework for nonlinear elasticity based on Bassi-Rebay (BR2) formulation. The encompasses compressible and incompressible hyperelastic materials is capable of dealing with large deformations. order to achieve stability, combine higher-order lifting operators the BR2 stabilisation term an adaptive strategy which relies Laplace operator penalty parameter spectrum f...

In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under general finite strain are derived using variational approach. The solved the compound matrix method two cases of axisymmetric growth conditions – purely radial, and combined radial circumferential growth. effect on buc...

In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatible nonhomogeneous three-dimensional deformations producing a homogeneous Cauchy stress on a cuboid geometry, and provide an example of an isotropic hyperelastic material, which is not rank-one convex, and for which th...