Deformation Analysis
Mechanical engineering disciplines analyze the stresses and deformation profiles that occur when soft elastomeric bodies press against hard indenters. Using hyperelastic contact mechanics, researchers calculate the pressure distribution and contact area under large strain conditions. This approach helps in the design of high performance seals and compliant mounts.
The resulting calculations predict how the contact zone expands under load.
Finite Strain
Nonlinear deformation requires formulations that account for both material and geometric nonlinearities. When calculating hyperelastic contact mechanics, classical linear Hertzian models do not apply due to the large changes in the shape of the soft specimen. Strains are tracked using deformation tensors instead of infinitesimal strain approximations.
The contact force is determined by integrating the normal stress over the actual deformed area.
Mathematical Formulation
Calibration of numerical models is performed by testing elastomer specimens under simple tension and compression to extract material coefficients. Standard specimens are prepared under controlled cure conditions to prevent variation in stiffness. Minor differences in mixing can change the stress strain curve of the elastomer, resulting in incorrect contact area calculations.
Finite element simulations use these coefficients to model the indentation profile. Verification is achieved by measuring the physical footprint of the contact zone using optical sensors or pressure sensitive films.
Sensor Integration
Surface friction and temperature alter the contact behavior by introducing shear stresses that restrict lateral expansion. High friction coefficients prevent sliding at the interface, which modifies the stress distribution in the elastomeric body.