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 in...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.展开更多
Presented in this paper is a precise investigation of the effect of surface stress on the vibration characteristics and instability of fluid-conveying nanoscale pipes.To this end,the nanoscale pipe is modeled as a Tim...Presented in this paper is a precise investigation of the effect of surface stress on the vibration characteristics and instability of fluid-conveying nanoscale pipes.To this end,the nanoscale pipe is modeled as a Timoshenko nanobeam.The equations of motion of the nanoscale pipe are obtained based on Hamilton＇s principle and the Gurtin-Murdoch continuum elasticity incorporating the surface stress effect.Afterwards,the generalized differential quadrature method is employed to discretize the governing equations and associated boundary conditions.To what extent important parameters such as the thickness,material and surface stress modulus,residual surface stress,surface density,and boundary conditions influence the natural frequency of nanoscale pipes and the critical velocity of fluid is discussed.展开更多
Iris Murdoch is a renowned female novelist and philosopher in the 20th century English literature. In her literary creation, she has a preference for male narration and holds a reserved attitude to women＇s movements ...Iris Murdoch is a renowned female novelist and philosopher in the 20th century English literature. In her literary creation, she has a preference for male narration and holds a reserved attitude to women＇s movements with reluctance to be considered as a feminist writer, which permits her realistic depiction of female characters and dispassionate thought on women＇s problems. This paper, with the interpretation and redefinition of the concepts as consciousness, identity, and self in Murdoch＇s philosophy, analyzes the fragmented self of three female figures in The Flight from the Enchanter （1956） respectively from the perspectives of self-consciousness, identity, and self and reveals that the fragmentation of female selfhood is mainly due to the overwhelming male dominance in the gender relationship.展开更多
基金Financial support of the Natural Science and Engineering Research Council (NSERC)
文摘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.
文摘Presented in this paper is a precise investigation of the effect of surface stress on the vibration characteristics and instability of fluid-conveying nanoscale pipes.To this end,the nanoscale pipe is modeled as a Timoshenko nanobeam.The equations of motion of the nanoscale pipe are obtained based on Hamilton＇s principle and the Gurtin-Murdoch continuum elasticity incorporating the surface stress effect.Afterwards,the generalized differential quadrature method is employed to discretize the governing equations and associated boundary conditions.To what extent important parameters such as the thickness,material and surface stress modulus,residual surface stress,surface density,and boundary conditions influence the natural frequency of nanoscale pipes and the critical velocity of fluid is discussed.
文摘Iris Murdoch is a renowned female novelist and philosopher in the 20th century English literature. In her literary creation, she has a preference for male narration and holds a reserved attitude to women＇s movements with reluctance to be considered as a feminist writer, which permits her realistic depiction of female characters and dispassionate thought on women＇s problems. This paper, with the interpretation and redefinition of the concepts as consciousness, identity, and self in Murdoch＇s philosophy, analyzes the fragmented self of three female figures in The Flight from the Enchanter （1956） respectively from the perspectives of self-consciousness, identity, and self and reveals that the fragmentation of female selfhood is mainly due to the overwhelming male dominance in the gender relationship.
