![]() ![]() 13.1 Helmholtz displacement vector representation. 12.8 Complex variable methods for plane problems. 11.7.2 Three-dimensional spherical-orthotropic problem. 11.7.1 Two-dimensional polar-orthotropic problem. 11.4.3 General solution to the governing equation. 11.4 Torsion of a solid possessing a plane of material symmetry. 11.2.5 Complete symmetry (isotropic material). 11.2.1 Plane of symmetry (monoclinic material). 10.7 Applications using the method of conformal mapping. D.5 Thin-walled cylindrical pressure vessels. 10.4.2 Finite multiply connected domains. 10.2 Complex formulation of the plane elasticity problem. 10.9 Westergaard method for crack analysis. 9.7 Torsion of circular shafts of variable diameter. 9.6 Torsion of cylinders with hollow sections. 15.4 Micropolar/couple-stress elasticity. 11.2.3 Axis of symmetry (transversely isotropic material). 11.2.2 Three perpendicular planes of symmetry (orthotropic material). 9.3.1 Stress–stress function formulation. 9 -Extension, torsion, and flexure of elastic cylinders. 8.4.12 Curved cantilever under end loading. ![]() 8.4.9 Half-space under uniform normal loading over −a≥x≥a. 8.4.8 Half-space under a surface concentrated moment. 8.4.7 Half-space under concentrated surface force system (Flamant problem). 8.4.6 Half-space under uniform normal stress over x≤0. 8.4.2 Stress-free hole in an infinite medium under equal biaxial loading at infinity. 8.4.1 Pressurized hole in an infinite medium. 15.3 Elasticity theory with distributed cracks. 8.2.1 Applications involving Fourier series. 8.2 Cartesian coordinate solutions using Fourier methods. ![]() 8.1 Cartesian coordinate solutions using polynomials. 6.6 Principles of minimum potential and complementary energy. 6.4.3 Integral formulation of elasticity-Somigliana's identity. 14.2 Plane problem of a hollow cylindrical domain under uniform pressure. 5.2 Boundary conditions and fundamental problem classifications. 3.8 Relations in curvilinear cylindrical and spherical coordinates. 3.5 Spherical, deviatoric, octahedral, and von Mises stresses. 1.6 Principal values and directions for symmetric second-order tensors. 1.3 Kronecker delta and alternating symbol. 1.1 Scalar, vector, matrix, and tensor definitions. ![]() Part 1: Foundations and elementary applications. Elasticity: Theory, Applications, and Numerics. ![]()
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