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On compatibility conditions for the left Cauchy-Green deformation field in three dimensions

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Publication:1578525
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DOI10.1023/A:1007653400249zbMath0962.74004MaRDI QIDQ1578525

Amit Acharya

Publication date: 4 September 2000

Published in: Journal of Elasticity (Search for Journal in Brave)


zbMATH Keywords

Riemannian geometryexistence of solutionsalgebraic constraintsnecessary conditionquasilinear first-order partial differential equationssufficient condition for compatibility of left Cauchy-Green deformation field


Mathematics Subject Classification ID

Kinematics of deformation (74A05)


Related Items (4)

Incompatible deformation field and Riemann curvature tensor ⋮ Explicit compatibility condition formula for the Eulerian left Cauchy–Green deformation tensor field ⋮ A simple and practical representation of compatibility condition derived using a \textbf{QR} decomposition of the deformation gradient ⋮ Compatibility equations of nonlinear elasticity for non-simply-connected bodies







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