Plane deformations of nets with bending stiffness

DOI10.1007/BF01176886zbMath0602.73034OpenAlexW1979120028MaRDI QIDQ1082122

A. C. Pipkin, Wenbiao Wang

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176886

zbMATH Keywords

singular perturbation methodsplane deformationsinterior transition layeradequate approximationboundaries along fiberscable networksclothdiscontinuous changes in fiber directionseffect of small bending stiffnessgeneral solution of equilibrium equationpair of differential integral equationsperfectly flexible networkspure-traction boundary value problemsRivlin's kinematic resultsstress potentialstress-deformation relationstheory of nets

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Strings (74K05)

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Cites Work

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• Finite plane deformation of thine elastic sheets reinforced with inextensible cords
• INEXTENSIBLE NETWORKS WITH BENDING STIFFNESS
• PLANE TRACTION PROBLEMS FOR INEXTENSIBLE NETWORKS
• Some developments in the theory of inextensible networks
• Finite Plane Stress of Stiff Fibre-reinforced Sheets
• PLANE CRACK PROBLEMS FOR IDEAL FIBRE-REINFORCED MATERIALS

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