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2019
This chapter covers the continuum mechanical description of thick plate members. Thick plates are plates where the contribution of the shear force on the deformations is considered. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential ...
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This chapter covers the continuum mechanical description of thick plate members. Thick plates are plates where the contribution of the shear force on the deformations is considered. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential ...
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Shear Deformable Plate Elements
2020This chapter starts with the analytical description of thick plate members. Thick plates are plates where the contribution of the shear force on the deformations is considered. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential ...
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Shearing deformations in beams
2009In view of this reasoning, the assumption “plane sections remain normal to the deformed axis of the beam,” which implies the vanishing of the transverse shear strains, could be replaced by “the beam is made of a material with an infinite shear modulus.” Because such a constitutive law is awkward, the transverse shear force (the stress resultant ...
Bauchau, Olivier, Craig, JI
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1996
Abstract This chapter is devoted to methods studying of matter at high pressures in combination with large shear stresses and large deformations, i.e. far from the perfect hydrostatic conditions typically needed for good physical experiments.
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Abstract This chapter is devoted to methods studying of matter at high pressures in combination with large shear stresses and large deformations, i.e. far from the perfect hydrostatic conditions typically needed for good physical experiments.
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Deformation Structures of Pure Titanium during Shear Deformation
Metallurgical and Materials Transactions A, 2009The deformation microstructure of commercial pure (CP) titanium formed in the theoretical shear zone of an equal channel angular pressing (ECAP) die during 3 or 4 passes is investigated by electron backscatter diffraction (EBSD) and transmission electron microscopy (TEM).
Y.J. Chen +4 more
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Tensile Buckling in Shear Deformable Rods
International Journal of Structural Stability and Dynamics, 2017In the framework of the Reissner–Simo rod theory and following Haringx’ approach for studying axial buckling in shear deformable rods, we give a mechanical interpretation of tensile instability, together with its mathematical justification, and we perform a linearized eigenvalue buckling analysis for tense planar rods. Buckled shapes and critical loads
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Simple Shear: Double-Stage Deformation
Materials Science Forum, 2010A hypothesis for two-stage character of deformation under load via the simple shear scheme is suggested. At the first stage in the shear strain range , where - the strain parameter, the metal microstructure changes in the way similar to that during elongation.
Yan Beygelzimer +2 more
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Severe plastic deformation: simple shear versus pure shear
Materials Science and Engineering: A, 2002The paper analyzes an effect of deformation mode on structure evolution under severe plastic deformation. From a continuum standpoint, all possible strain states range from pure shear to simple shear and can be described by a single parameter. The microstructure evolution at large strains is linked with successive steps of continuous flow and flow ...
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Shear deformation potentials in metals
Surface Science, 1973Abstract The differential approach, based on the Green's function method and the muffin-tin approximation for the crystal potential, which was proposed recently as a convenient method of obtaining accurate deformation potentials in metals is discussed briefly here with particular emphasis on the relation of the method to stress-modulation experiments.
George E. Juras, B. Segall
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Longitudinal Shear Deformation of Composites— Effective Shear Modulus
Journal of Composite Materials, 1970An exact analytical solution is given for a case of longitudinal shear loading of an unidirectional fiber reinforced composite. The analysis takes into account random spacing between fibers, random variation of fiber radii, and the variation in shear modulus from fiber to fiber.
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