Modelling virus contact mechanics under atomic force imaging conditions

DOI10.1080/00036811.2022.2044027zbMath1495.74046arXiv2112.15340OpenAlexW4214721904MaRDI QIDQ5095336

Bogdan Dragnea, Paolo Piersanti, Kristen White, Roger M. Temam

Publication date: 8 August 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15340

zbMATH Keywords

existenceuniquenessrelaxationelliptic variational inequalitycontact mechanicsadhesionconvex regular polygonelastic forcedistributed strainprimal-dual active set method

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Biomechanics (92C10) Biomechanical solid mechanics (74L15) PDEs in connection with mechanics of deformable solids (35Q74) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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Cites Work

• Unnamed Item
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• A confinement problem for a linearly elastic Koiter's shell
• A time-dependent obstacle problem in linearised elasticity
• A confinement problem for a linearly elastic membrane shell of elliptic type
• Numerical methods for static shallow shells lying over an obstacle
• Optimization theory and methods. Nonlinear programming
• An obstacle problem for elliptic membrane shells
• Scientific Computing with MATLAB and Octave
• Mathematical Modeling in Continuum Mechanics
• An obstacle problem for Koiter’s shells