A viscoelastic Mooney–Rivlin model for adhesive curing and first steps toward its calibration based on photoelasticity measurements

Abstract The transition of polymer adhesives from an initially liquid to a fully cured viscoelastic state is accompanied by three phenomenological effects, namely increase in stiffness and viscosity conjunction with decrease volume (curing shrinkage). Under consideration these phenomena, some us (Hossain et al. Computational Mechanics 46:363-375, 2010) have devised generic, finite strain framework for the simulation curing process adhesives, which renders thermodynamically consistent model regardless selected free energy density. In present work, this generic modified means more precise integration schemes applied hyperelastic Mooney–Rivlin material based on additive volumetric-isochoric split benefit decomposition directly related distinct responses various polymers volumetric isochoric deformations [4]. resulting provides foundation implementing user-defined subroutine ( UMAT ) Abaqus requiring Cauchy stress non-standard formulation tangent operator. To end, corresponding transformations are presented. Additionally, first attempt determine evolution curing-dependent parameters through optimization respect photoelasticity measurement A subset properties, reflect emergence shrinkage stresses inside ceramic-epoxy composite after its fabrication, determined via inverse parameter identification. However, due lack experimental data rather strong assumptions made physics involved, demonstration can currently be considered only as proof-of-concept.