An exact derivation of the thin plate equation

From MaRDI portal
Publication:583944

DOI10.1007/BF00041107zbMath0692.73049WikidataQ56967920 ScholiaQ56967920MaRDI QIDQ583944

P. Podio-Guidugli

Publication date: 1989

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




Related Items

Modelling junctions of thin plates., Global material constraints and their associated reactive stresses, A two-dimensional theory for the analysis of laminated plates, On the Propagation of Progressive Waves in Prestressed, Linearly Elastic, Transversely Isotropic, Kirchhoff Plate-Like Bodies, Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations, The equations of Reissner-Mindlin plates obtained by the method of internal constraints, A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS, A new CNT-oriented shell theory, Elastic bodies reinforced with inextensible surfaces, A unified formal approach for theories of linear elastic plates and rods, (15) Differential Equations for the Stability Problem of Viscoelastic Cylindrical Shells, (15) Differential Equations for the Stability Problem of Viscoelastic Cylindrical Shells, Bending and stretching in a narrow ribbon of nematic polymer networks, The ideal pseudo-rigid continuum, Buckling of thin-walled cylinders from three dimensional nonlinear elasticity, A nonlinear formulation of piezoelectric shells with complete electro-mechanical coupling, The equations of motion of a plate with residual stress, The membranal and flexural equations of thin elastic plates deduced exactly from the three-dimensional theory, Rotational symmetry vs. axisymmetry in shell theory, Transcritical buckling of columns, An exact theory of the bending of transversely inextensible elastic plates, Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories, The kinematics of plate models: a geometrical deduction, The representation problem of constrained linear elasticity, The derivation of a thick and thin plate formulation without ad hoc assumptions, The theory of Kirchhoff rods as an exact consequence of three-dimensional elasticity, On variational dimension reduction in structure mechanics, Singular shear-force states in elementary plate theory, On generalized Cosserat-type theories of plates and shells: a short review and bibliography, On the Kirchhoff-Love hypothesis (Revised and Vindicated), On the validation of theories of thin elastic structures, On a principle of virtual work for thermo-elastic bodies with couple stresses, The Critical Role of the Base Curve for the Qualitative Behavior of Shearable Rods, Theory of Linearly Elastic Residually Stressed Plates, ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS, Recent results in the theory of elastic plates, On the constraint and scaling methods to derive the equations of linearly elastic rods



Cites Work