Elasticity: Theory, Applications, and Numerics

By M. Sadd. 2004

1,190 citations recorded by the source corpus.

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Reduced basis method for linear elasticity problems with many parameters (2008, unknown): “…basis approximations [16]; (ii) the possibility to use a posteriori error estimation [25] which provides sharp and rigorous bounds for the error in the output and (iii) offline/online computational strategy which allows rapid calculation of both output approximation and associated error bound.”
Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method (2012, background): “the corresponding analytical stress fields can be derived by considering basic laws of elastostatics [65]”
Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius (2017, methodology): “[34] M. H. Sadd, 2009, Elasticity: theory, applications, and numerics, Academic Press, [35] W. E. Boyce, R. C. DiPrima, C. W. Haines, 1969, Elementary differential equations and boundary value problems, Wiley New York.”
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (2012, methodology): “Geometry, material, boundary conditions and the analytical solution [109] correspond to the classical example shown in [1, 5] and are given in Figure 37.”