Introduction to Mechanics of Deformable Solids |
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... strains . Stress and strain as tensors 218 chapter 12 ( Isotropic ) stress - strain relations in three dimensions 264 Linear - viscous and linear - viscoelastic materials Nonlinear materials 9.4 Problems 197 197 10.1 Superposition of ...
... strains . Stress and strain as tensors 218 chapter 12 ( Isotropic ) stress - strain relations in three dimensions 264 Linear - viscous and linear - viscoelastic materials Nonlinear materials 9.4 Problems 197 197 10.1 Superposition of ...
Page 250
... strain . Principal strains Єa , ec given . and [ see Eq . ( 11.4 : 1 ) ] the change in volume per unit volume € 1 + € 2 + € 3 = Ex + Ey + € 2 y € 2 ( 11.6 : 9 ) If the material is incompressible , e + + = 0 and the strain tensor is a strain ...
... strain . Principal strains Єa , ec given . and [ see Eq . ( 11.4 : 1 ) ] the change in volume per unit volume € 1 + € 2 + € 3 = Ex + Ey + € 2 y € 2 ( 11.6 : 9 ) If the material is incompressible , e + + = 0 and the strain tensor is a strain ...
Page 259
... strain readings : € 0 = € 60 = -400 X 10-6 € 120 = +800 × 10-6 100 X 10-6 Sketch the rosette , and : A. Estimate the maximum shear strain in the surface . B ... STRAIN AS TENSORS / 259 Principal Strains in Three Dimensions Strain as Tensor.
... strain readings : € 0 = € 60 = -400 X 10-6 € 120 = +800 × 10-6 100 X 10-6 Sketch the rosette , and : A. Estimate the maximum shear strain in the surface . B ... STRAIN AS TENSORS / 259 Principal Strains in Three Dimensions Strain as Tensor.
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applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ