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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 8: Mathematical Contact Mechanics
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Articles

Mathematical justification of the obstacle problem for elastic elliptic membrane shells

Á. Rodríguez-ArósETS Náutica e Máquinas, Universidade da Coruña, Coruña, Spain.Correspondence[email protected]
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Pages 1261-1280 | Received 25 Nov 2016, Accepted 27 May 2017, Published online: 10 Jun 2017

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M. E. Mezabia, D. A. Chacha & A. Bensayah. (2022) Modelling of frictionless Signorini problem for a linear elastic membrane shell. Applicable Analysis 101:6, pages 2295-2315.
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Articles from other publishers (16)

Aaron Meixner & Paolo Piersanti. (2024) Numerical Approximation of the Solution of an Obstacle Problem Modelling the Displacement of Elliptic Membrane Shells via the Penalty Method. Applied Mathematics & Optimization 89:2.
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Wangxi Duan, Paolo Piersanti, Xiaoqin Shen & Qian Yang. (2023) Numerical corroboration of Koiter’s model for all the main types of linearly elastic shells in the static case. Mathematics and Mechanics of Solids 28:11, pages 2347-2369.
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Paolo Piersanti. (2023) Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction. Journal of Nonlinear Science 33:4.
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Paolo Piersanti. (2022) Asymptotic analysis of linearly elastic elliptic membrane shells subjected to an obstacle. Journal of Differential Equations 320, pages 114-142.
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Paolo Piersanti. (2022) On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. Discrete & Continuous Dynamical Systems 42:2, pages 1011.
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Paolo Piersanti. (2021) On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle. Asymptotic Analysis 127:1-2, pages 35-55.
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G. Castiñeira & Á. Rodríguez-Arós. (2020) On the Justification of Koiter’s Equations for Viscoelastic Shells. Applied Mathematics & Optimization 84:2, pages 2221-2243.
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Paolo Piersanti. (2021) On the justification of the frictionless time-dependent Koiter's model for thermoelastic shells. Journal of Differential Equations 296, pages 50-106.
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M. T. Cao-Rial, G. Castiñeira, Á. Rodríguez-Arós & S. Roscani. (2021) Asymptotic Analysis of Elliptic Membrane Shells in Thermoelastodynamics. Journal of Elasticity 143:2, pages 385-409.
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Paolo Piersanti & Xiaoqin Shen. (2020) Numerical methods for static shallow shells lying over an obstacle. Numerical Algorithms 85:2, pages 623-652.
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Philippe G Ciarlet & Paolo Piersanti. (2019) An obstacle problem for Koiter’s shells. Mathematics and Mechanics of Solids 24:10, pages 3061-3079.
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M.T. Cao-Rial & Á. Rodríguez-Arós. (2019) Asymptotic analysis of unilateral contact problems for linearly elastic shells: Error estimates in the membrane case. Nonlinear Analysis: Real World Applications 48, pages 40-53.
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G. Castiñeira & Á. Rodríguez-Arós. (2019) On the justification of viscoelastic flexural shell equations. Computers & Mathematics with Applications 77:11, pages 2933-2942.
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Philippe G. Ciarlet, Cristinel Mardare & Paolo Piersanti. (2018) An obstacle problem for elliptic membrane shells. Mathematics and Mechanics of Solids 24:5, pages 1503-1529.
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Á. Rodríguez-Arós & M. T. Cao-Rial. (2018) Asymptotic analysis of linearly elastic shells in normal compliance contact: convergence for the elliptic membrane case. Zeitschrift für angewandte Mathematik und Physik 69:5.
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Philippe G. Ciarlet, Cristinel Mardare & Paolo Piersanti. (2018) Un problème de confinement pour une coque membranaire linéairement élastique de type elliptique. Comptes Rendus. Mathématique 356:10, pages 1040-1051.
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