Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarific

Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarification of its

related versions

佚名

【期刊名称】《中国科学》 【年(卷),期】2010(000)003

【摘要】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 Gurtin-Murdoch model is based on a hybrid formulation combining linearized deformation of bulk material with 2nd-order finite deformation of the surface, caution is needed when the original form of this model is applied to bending deformation of thin-walled elastic structures with surface stress. 【总页数】9页(P.536-544)

【关键词】surface;elasticity;surface;stress;Gurtin-Murdoch;model 【作者】佚名 【作者单位】;

【正文语种】英文 【中图分类】N 【文献来源】

https://www.zhangqiaokeyan.com/academic-journal-cn_science-china-information-sciences_thesis/0201258397981.html 【相关文献】

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