Abstract
The boundary element method is employed for the analysis of three-dimensional (3D) brittle solids and structures, such as those composed of concrete, rock, ceramics or masonry, under static (monotonic or cycling) loading. The mechanical behavior of these solids can be successfully described by continuum damage mechanical theories. The integral formulation of the problem contains not only boundary, but also volume integrals as well, accounting for damage effects. Thus, in addition to the boundary one, an interior discretization is necessary, which can be restricted to those parts of the structure expected to behave inelastically. Isoparametric linear quadrilateral elements are used for the surface discretization and isoparametric linear hexahedra for the interior discretization. Advanced numerical integration techniques for singular and nearly singular integrals are employed. Numerical examples involving 3D concrete type structures under static loads are presented to illustrate the method and demonstrate its advantages.
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