Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarification of its related versions |
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Authors: | Ru C. Q |
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Affiliation: | Ru C. Q. Department of Mechanical Engineering,University of Alberta,Edmonton,Alberta,Canada T6G 2G8 |
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Abstract: | It is showed that all equations of the linearized Gurtin-Murdoch model of surface elasticity can be derived, in a straightforward way, from a simple second-order expression for the ratio of deformed surface area to initial surface area. This elementary derivation offers a simple explanation for all unique features of the model and its simplified/modified versions, and helps to clarify some misunderstandings of the model already occurring in the literature. Finally, it is demonstrated that, because the Gurti... |
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Keywords: | surface elasticity surface stress Gurtin-Murdoch model |
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