Browsing by Subject "linear elasticity"
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Item type:Article, Access status: Open Access , Directions of extreme stiffness and strength in linear elastic anisotropic solids(2012) Szeptyński, PawełAn investigation for directions of extreme - maximum or minimum - values of the longitudinal and transverse stiffness moduli as well as of the limit uniaxial and limit shear stresses in anisotropic linear elastic solids is performed in the paper. The cases of cubic symmetry (regular crystal system) and of volumetrically isotropic cylindrical symmetry (hexagonal crystal system with additional constraints) are considered. The systems of non-linear equations for the components of the versors of investigated directions are derived with use of the spectral decomposition of the elasticity (stiffness and compliance) tensors.Item type:Article, Access status: Open Access , Warunki optymalizacji kształtu wyrobisk podziemnych(Wydawnictwa AGH, 2009) Różański, Adrian; Sobótka, MaciejA new condition in view of underground excavation shape optimization is proposed. Linear elastic model of rock mass is assumed. Both ellipsoidal and half-ellipsoidal excavation shapes are considered. In order to verify the proposed criterion numerical results are compared with the solution formulated by Sałustowicz. Numerical simulations are performed and the conclusions are formulated.
