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The exact stress distribution in the overlap area is investigated by using a Finite Element (FE) analysis.
In order to satisfy the boundary conditions in a rigorous way, the authors chose the finite element method using the exact stress distribution throughout the plate.
This paper presents the exact stress solution of the non-associative Drucker Prager elastoplastic model governed by linear isotropic hardening rule.
The virial method with enforced stoichiometry and atomic voronoi volumes is the most accurate, giving exact stress values by the first atomic shell.
Conformal transformation and complex function method are adopted to obtain exact stress distributions in the matrix at the interior boundary to calculate strain energy in the matrix.
In regards to the development of stress update formulations, a second-order accurate stress update formulation for the corotational stress rate hypoelasticity, and an exact stress update formulation for the logarithmic stress rate hypoelasticity are proposed.
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The disadvantage of analytical method is that we cannot see exact stresses during design, so the chances of over and under design is high in analytical methods.
To obtain tubes exact stress-strain curve and mechanical properties, three similar specimens prepared from tubes in longitudinal direction based on ASTM standard tensile test (Fig. 4) (ASTM Standard E8/E8M-08 2003).
However, the exact peeling stress distributions could not be obtained by using the existing analytical and numerical models.
A numerical example presented by Levinson and Cooke is re-examined using both TBT and exact plane stress elastodynamic theory.
The application of the sampling surfaces (SaS) method to laminated composite plates is presented in a companion paper (Kulikov GM, Plotnikova SV. Exact 3D stress analysis of laminated composite plates by sampling surfaces method. Compos Struct 2012 94:3654–3663).
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