A variational derivation of stoney-like formulas for self-stressed bilayered plates

DOI10.1007/S10659-023-10009-WzbMATH Open1548.49059MaRDI QIDQ6612663

Roberto Paroni, Raffaella Rizzoni, A. DiCarlo

Publication date: 1 October 2024

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

zbMATH Keywords

self-stress\(\varGamma\)-convergence techniquebilayered thin platesspontaneous bending

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Plates (74K20) Micromechanics of solids (74M25) Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Cites Work

• Non-uniform, axisymmetric misfit strain in thin films bonded on plate substrates/substrate systems: the relation between non-uniform film stresses and system curvatures
• A variational justification of linear elasticity with residual stress
• Extension of Stoney's formula to non-uniform temperature distributions in thin film/substrate systems. The case of radial symmetry
• On the residual stress possible in an elastic body with material symmetry
• Towards an acoustoelastic theory for measurement of residual stress
• On the traction problem of dead loading in linear elasticity with initial stress
• On variational dimension reduction in structure mechanics
• The equations of motion of a plate with residual stress
• Thin Film Materials
• Theory of Linearly Elastic Residually Stressed Plates

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