Effect of the surface on hyperelastic properties of materials at smaller scales

Abstract eng:
In this work, well-known continuum models in the framework of hyperelasticity are generalized for certain applications where the scale of the problem decreases to nano-level. At this length scale, the surface and residual surface stresses have a critical effect on the overall deformation of the bulk material. The proposed models employ the Gurtin-Murdoch theory to represent the surface effect as a residually prestressed thin hyperelastic film of separate elasticity, perfectly bonded to the bulk. Obtained results demonstrate remarkable changes in the effective mechanical properties of materials at smaller scales that are not captured by classical theories.

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