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Strength Analysis in Geomechanics
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This book presents a new approach for the solution of geomechanical problems - it explicitly takes into account deformation and fractures of soils in explicitly, which are neglected in classical methods although these properties create important effects. The method reveals the influence of the form of a structure on its ultimate state. It considers the rheological law which accounts for large strains, and a non-linear unsteady creep, an influence of a stress state type, an initial anisotropy, and damages is introduced. The whole approach takes into account five types of non-linearity (physical...
This book presents a new approach for the solution of geomechanical problems - it explicitly takes into account deformation and fractures of soils in explicitly, which are neglected in classical methods although these properties create important effects. The method reveals the influence of the form of a structure on its ultimate state. It considers the rheological law which accounts for large strains, and a non-linear unsteady creep, an influence of a stress state type, an initial anisotropy, and damages is introduced. The whole approach takes into account five types of non-linearity (physical as well as geometrical ones) and contains several new ideas. For example, the fracture is considered as a process, and the difference between the body and an element of the material is taken into account which only deforms and fails because it is in the structure. In addition, the simplicity of some non-linear computations against the consequently linear ones is featured.
Table of contents:
Introduction, Main Ideas.- Main Equations in Media Mechanics.- Some Elastic Solutions.- Elastic-Plastic and Ultimate State of Perfect Plastic Bodies.- Ultimate State of Structures at Small Non-Linear Strains.- Ultimate State of Structures at Finite Strains.
Table of contents:
Introduction, Main Ideas.- Main Equations in Media Mechanics.- Some Elastic Solutions.- Elastic-Plastic and Ultimate State of Perfect Plastic Bodies.- Ultimate State of Structures at Small Non-Linear Strains.- Ultimate State of Structures at Finite Strains.