Semianalytical Lower-Bound Limit Analysis of Domes and Vaults

The calculation of the collapse load spherical domes is addressed using a semianalytical approach under hypothesis small displacements and perfect plasticity. procedure based on numerical approximation self-stress that represents projection balance equilibrium null space finite dimensional manifold. so-obtained self-equilibrated stress span superimposed onto finite-element linear elastic solution to prescribed loads yielding statically admissible set accordingly Melan’s theorem. compatibility with constitutive law material was enforced linearized limit domain in terms generalized stress, namely, axial force bending moment along local curvilinear coordinates. tested reference experimental data from literature, confirming accuracy proposed method. A comparison literature confirms buckling much greater than two plastic calculated through reported quoted literature.