A Finite Swelling Beam Model with Axial and Radial Diffusion
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This beam model incorporates axial and radial strains, both small and large, that result from the beam’s interaction with a temperature or a concentration field. The incorporation is achieved following a multiplicative split of the deformation gradient. Moreover, the coupling of the mechanical with the thermal/chemical system is realized through a staggered scheme, where both diffusion and mechanics are solved using isogeometric collocation. Assuming rotational symmetry of the field variable, the diffusion equation is reduced to a 2D problem, thus improving the overall computational effort while retaining reliable results.