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On Membranes, Tension Fields, and the Human Skin
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this Note we extend and simplify the theory of the deformation of human skin developed in two previous reports. We show that the equations of membranes constrained to slide over deformable ...
Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general nonlinear theory for thin shells of arbitrary midsurface geometry is formulated in terms of a finite rotation vector and a stress-function vector. Compatibility equations, equilibrium ...
New Results for the Buckling Loads of Axially Compressed Cylindrical Shells Subject to Relaxed Boundary Conditions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A set of accurate buckling equations recently developed by the authors is used to compute the buckling loads of axially compressed circular cylindrical shells subject to “relaxed,” incremental ...
Nonlinear Beam Kinematics by Decomposition of the Rotation Tensor
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple matrix expression is obtained for the strain components of a beam in which the displacements and rotations are large. The only restrictions are on the magnitudes of the strain and ...
A Beam Theory for Large Global Rotation, Moderate Local Rotation, and Small Strain
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Kinematical relations are derived to account for the finite cross-sectional warping occurring in a beam undergoing large deflections and rotations due to deformation. The total rotation at any ...
Discussion: “On the Buckling of Cylinders in Axial Compression” (Dym, C. L., 1973, ASME J. Appl. Mech., 40, pp. 565–568)
Publisher: The American Society of Mechanical Engineers (ASME)
A Geometrically Nonlinear Theory of Elastic Plates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A set of kinematical and intrinsic equilibrium equations are derived for plates undergoing large deflection and rotation but with small strain. The large rotation is handled by means of the ...