Displaying similar documents to “The problem of dynamic cavitation in nonlinear elasticity”

Nonlinear analysis. New arguments and results. II.

Lamberto Cesari (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.

Nonlinear analysis. New arguments and results. II.

Lamberto Cesari (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.

Nonlinear transmission problems.

Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)

Memoirs on Differential Equations and Mathematical Physics

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Injective weak solutions in second-gradient nonlinear elasticity

Timothy J. Healey, Stefan Krömer (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on...

Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations

Soraya Mareishi, Hamed Kalhori, Mohammad Rafiee, Seyedeh Marzieh Hosseini (2015)

Curved and Layered Structures

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This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with...

Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval

M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi, A. Ciancio (2016)

Waves, Wavelets and Fractals

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In this paper, the block pulse functions (BPFs) and their operational matrices of integration and differentiation are used to solve nonlinear singular initial value problems (NSIVPs) of generalized Lane-Emden type in a large interval. In the proposed method, we present a new technique for computing nonlinear terms in such equations. This technique is then utilized to reduce the solution of this nonlinear singular initial value problems to a system of nonlinear algebraic equation whose...