Browsing by Author "Spector, Scott J."
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Item The Formation of Filamentary Voids in Solids(1989) James, Richard D.; Spector, Scott J.Item An isoperimetric estimate and W1, p-quasiconvexity in nonlinear elasticity(1998-02) Muller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.Item Linear Deformations as Global Minimizers in Nonlinear Elasticity(1989) Spector, Scott J.Item Necessary Conditions at the Boundary for Minimizers in Finite Elasticity(1988) Simpson, Henry C.; Spector, Scott J.Item On the Absence of Bifurcation for Elastic Bars in Uniaxial Tension(1983) Spector, Scott J.We prove that an elastic bar undergoing uniaxial tension will not neck before the axial load on the bar attains a (local) maximum. Further, if the bar is in a hard loading device we show that necking is delayed until after maximum load is achieved. The key ingredient in the latter result is a generalized Korn inequality.Item On the Modified Bessel Functions of the First Kind - dotepsilon- On Barrelling for a Material in Finite Elasticity(1983) Simpson, Henry C.; Spector, Scott J.A. On the modified Bessel functions of the first kind: We consider the functions v (t) t I (t) / I + 1 (t) where I are the modified Bessel functions of the first kind of order 0. We prove that v is strictly monotone and strictly convex on R+. These results have application in finite elasticity. B. On barrelling for a material in finite elasticity: In this paper we investigate the question of stability for a solid circular cylinder, composed of a particular homogeneous isotropic (compressible) nonlinearly elastic material, that is subjected to compressive end forces in the direction of its axis (so as to give fixed axial displacements at the ends).Item Some Necessary Conditions at an Internal Boundary for Minimizers in Finite Elasticity(1989) Simpson, Henry C.; Spector, Scott J.