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The Law of Elasticity
Stress functions and complex stresses
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2-tensor affine transformation angewandten Mathematik anisotropy antiplane problem applied arbitrary area theorem axes of reference beam whose cross-section bending body-field body-force boundary condition centre of flexure centroid complex stresses conjugate constant couple curve deformation tensor denote determined dw(z dxdy dyadic product elastic symmetry ellipse elliptic cylinder energy equilibrium Ergebnisse der angewandten force free end Gauss's theorem given holomorphic Hooke's law independent infinitesimal integral isotropic beam lateral surface lemniscate linear lines of shearing mapping Milne-Thomson moduli notation orthotropic parallel plane of elastic Poisson's ratio principal axes principal stress principle of virtual prove quadric rigid body rigid body movement rotation scalar shearing stress simply connected solution stress components stress tensor Substitute Timoshenko's stress function torsion problem torsional rigidity twisting vanish vector virtual displacements virtual stresses write zero