Gurtin-Murdoch Theory

The Gurtin-Murdoch theory models how materials behave at their surfaces or interfaces. It recognizes that surface regions have different properties than the bulk material, especially affecting how materials deform and respond to stresses. This approach introduces surface energies and stresses into the material’s analysis, allowing for more accurate predictions of phenomena like small-scale deformation, fracture, or surface roughness. It provides a framework to understand how surface effects influence the overall mechanical behavior, particularly important in nanotechnology and materials science where surface phenomena become significant.