Displaying similar documents to “Determination of the initial stress tensor from deformation of underground opening -- theoretical background and applications”

Determination of the initial stress tensor from deformation of underground opening in excavation process

Josef Malík, Alexej Kolcun (2022)

Applications of Mathematics

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A method for the detection of the initial stress tensor is proposed. The method is based on measuring distances between pairs of points located on the wall of underground opening in the excavation process. This methods is based on solving twelve auxiliary problems in the theory of elasticity with force boundary conditions, which is done using the least squares method. The optimal location of the pairs of points on the wall of underground openings is studied. The pairs must be located...

A paradox in the theory of linear elasticity

Jindřich Nečas, Miloš Štípl (1976)

Aplikace matematiky

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Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].

Microlocal Approach to Tensor Tomography and Boundary and Lens Rigidity

Stefanov, Plamen (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C24, 53C65, 53C21. This is a survey of the recent results by the author and Gunther Uhlmann on the boundary rigidity problem and on the associated tensor tomography problem. Author partly supported by NSF Grant DMS-0400869.

On the domain of applicability of the Mori-Tanaka effective medium theory

Mauro Ferrari (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.

Dynamics of granular fluids

Gianfranco Capriz, George Mullenger (2004)

Rendiconti del Seminario Matematico della Università di Padova

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