Akademik Veri Yönetim Sistemi
8th European Conference on Constitutive Models for Rubbers (ECCMR), San Sebastian, İspanya, 25 - 28 Haziran 2013, ss.183-189
Cavitation in rubberlike materials can be attributed to sudden growth of pre-existing defects under sufficiently large triaxial stresses. In this contribution, we developed a multiscale model for the investigation of cavitation phenomenon in rubberlike materials. To this end, we propose a general numerical scheme based on the homogenization of a spherical cavity in an incompressible hyperelastic unit solid sphere and extend the formulation to a multiscale damage model based on a Griffith-type surface energy criterion that drives the cavity growth in the sphere. The deformation field in the sphere is approximated via non-affine kinematics proposed by Hou and Abeyaratne (1992). The macroscopic quantities, e. g. stress and moduli expressions are obtained by pointwise analytically derived geometric transformations. The macroscopic quantities are then obtained numerically through quadrature rules applied in the radial and surface directions of the spherical solid. The porous hyperelastic model is extended to a multiscale damage model by evolving the cavity radius by a critical surface energy criterion, which is considered to be a characteristic material property. The model developed is verified with experimental results obtained from pancake specimens where the macroscopic loading is purely volumetric. Based on the microstructural ansatz, the model predicts in an excellent format the experimental results for compressible rubber behaviour and cavity growth in rubberlike materials.