1990
DOI: 10.1016/0045-7949(90)90404-p
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A new fe approach for adaptive reliability assurance

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Cited by 27 publications
(8 citation statements)
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“…Jirousek's method has been applied to the biharmonic equation [2,3], plane elasticity [40], and Kirchhoff plates [34,40,51]. Later the approach was further extended to thin shells [39], moderately thick Reissner-Mindlin plates [35,36,51], thick plates [52], general 3-D solid mechanics [53], axisymmetric solid mechanics [42,43], Poisson equation [54], and transient heat conduction analysis [45].…”
Section: Jirousek Methodsmentioning
confidence: 99%
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“…Jirousek's method has been applied to the biharmonic equation [2,3], plane elasticity [40], and Kirchhoff plates [34,40,51]. Later the approach was further extended to thin shells [39], moderately thick Reissner-Mindlin plates [35,36,51], thick plates [52], general 3-D solid mechanics [53], axisymmetric solid mechanics [42,43], Poisson equation [54], and transient heat conduction analysis [45].…”
Section: Jirousek Methodsmentioning
confidence: 99%
“…According to Jirousek [48], the superiority of this version over the h-version has been so overwhelming that most of the new developments refer to the p-version. One of its most important advantages has been the facility with which a simple a posteriori stress error estimator [41] can be developed [45] and, using it, derive a procedure for adaptive reliability assurance [45][46][47].…”
Section: Jirousek Methodsmentioning
confidence: 99%
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“…In the category of FE methods, some other approaches can be found. Special singular basis functions can be applied in the region around the singularity [8,9]. Wu and Han [10] introduce an artificial boundary and reduce the original problem to a boundary value problem away from the singularity.…”
Section: Introductionmentioning
confidence: 99%
“…The element formulation, during which the internal parameters are eliminated at the element level, in the end leads to the standard force-displacement relationship, with a symmetric positive-definite stiffness matrix. Various versions of these elements, including the highly efficient HT p-elements 2 9 3 have later successfully been implemented, along with an efficient model for adaptive reliability assurance, into the FE program SAFE. The HT approach has succeeded in preserving the advantages of BS and BE approaches and avoid their drawbacks (such as the fully populated non-symmetric coefficient matrices of resulting BEM equations, the need for elaborate integration schemes due the singular Kelvin-type fundamental solutions, the need for special techniques to solve problems governed by non-homogeneous equations, etc.).…”
Section: Introductionmentioning
confidence: 99%