Theoretical Analysis for Electroelastic Field of Piezoelectric Hollow Cylinder with D∞ Symmetry Subj

来源 :第五届先进材料与结构的力学中日双边学术研讨会(The 5th Joint-Symposium on Mechanics | 被引量 : 0次 | 上传用户:kingworsebest
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  Piezoelectric materials that put less environmental load have attracted considerable attention.Poly-L-lactide-acid(PLLA)is biodegradable and carbon–neutral.In addition,it suits the human–machine interfaces and biomedical engineering applications because it doesnt exhibit pyroelectric effects nor need poling processes.Until now,the properties of PLLA have been often studied experimentally and numerically,but theoretical studies have been hardly done.Therefore,some of the present authors analyzed the problem of the infinite column with D∞ symmetry theoretically.The study was supposed to be used for a solid cylinder.However,electroelastic field analysis of hollow cylinder is also necessary,because such a cylinder is applied to catheters.In that case,we need analysis of not a solid cylinder but a hollow cylinder.In this paper,therefore,we analyze the electroelastic field analysis assuming a sensor application which is subjected to pressure and shear stress.First,we define the potential functions from the displacement and electric field.Second,we formulate the potential governing equations from the fundamental equations of electroelasticity in the hollow cylinder.Third,we consider that the cylinder is subjected to the pressure and circumferential shear stress.The pressure and shear stress are axisymmetric with respect to the z-axis and symmetric with respect to z=0.Fourth,we formulate the physical quantities by combining governing equations with boundary conditions.Fifth,we graph the distribution of the physical quantities.Moreover,we examine the data which is needed for a sensor application and obtain fundamental knowledge on hollow cylinder assuming a sensor application.
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