Effective error sttimation from continous, boundary admissible estimated stress fields

Ramsay, A. C. A.; Maunder, E. A. W.

doi:10.1016/0045-7949(96)00034-x

Cited by 15 publications

(10 citation statements)

References 16 publications

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“…The idea of enforcing equilibrium in the recovery procedure has been used by several authors [12,13,14,15,16,17,18,19,20,21,22,23,24,25]. Originally, the equilibrium was imposed locally to enhance the least-squares fitting and improve the nodal values of the recovered stresses.…”

mentioning

confidence: 99%

Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

Dı́ez

Ródenas

Zienkiewicz

2006

Numerical Meth Engineering

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Colloidal crystals of poly(styrene) spheres can be used as templates to fabricate a conjugated polymer inverse opal potentiometric biosensor (see Figure) incorporating an enzyme. After core removal, a seven‐fold increase in sensitivity relative to conventional films is measured for analyte concentrations varying from 1 to 100 μM. The presence of large pores enables the formation of a Schottky junction, which governs the sensing response.

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mentioning

confidence: 99%

Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

Dı́ez

Ródenas

Zienkiewicz

2006

Numerical Meth Engineering

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“…Furthermore, results of error estimation [11] in meshing are also found to be satisfactory (Figure 27). …”

Section: Modelling and Meshingmentioning

confidence: 73%

Optimization of Sectional Dimensions of I-Section Flange Beams and Recommendations for IS 808: 1989

Gaur¹,

Murari²,

Acharya³

2016

OJCE

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This study covers optimization of I-sectional flange beams. Scope of this study is limited to medium weight flange beams of Table 1 of IS 808:1983 but it can be further extended for the other sections of this code. Best possible geometric shape of the cross-section is found for maximum performance of the beam with minimum material consumption. All possible loading conditions are considered in the study for which a beam in flexure undergoes in its life. ANSYS software program is used for the analysis and optimizing the sections. It is found that sections MB 125, MB 300 and MB 400 of Table 1 of IS 808 are not the optimum sections but other alternative of these crosssections is available which within the same material consumption performs better than these sections of IS code.

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“…It is therefore necessary to post-process the results obtained in order to impose the satisfaction of the boundary equilibrium equation in mid-side nodes. The solution proposed for this kind of nodes, which is based on the procedure described by Ramsay and Maunder [19], is described in the following. Figure 5 shows the angle ms which is the angle formed by the X -axis and the vector normal to the surface at the mid-side node.…”

Section: Mid-side Nodes Over Boundaries With Imposed Tractionsmentioning

confidence: 99%

Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR‐C technique

Ródenas

Tur

Fuenmayor

et al. 2006

Numerical Meth Engineering

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SUMMARYThe superconvergent patch recovery (SPR) technique is widely used in the evaluation of a recovered stress field r * from the finite element solution r fe . Several modifications of the original SPR technique have been proposed. A new improvement of the SPR technique, called SPR-C technique (Constrained SPR), is presented in this paper. This new technique proposes the use of the appropriate constraint equations in order to obtain stress interpolation polynomials in the patch r * p that locally satisfy the equations that should be satisfied by the exact solution. As a result the evaluated expressions for r * p will satisfy the internal equilibrium and compatibility equations in the whole patch and the boundary equilibrium equation at least in vertex boundary nodes and, under certain circumstances, along the whole boundary of the patch coinciding with the boundary of the domain. The results show that the use of this technique considerably improves the accuracy of the recovered stress field r * and therefore the local effectivity of the ZZ error estimator.

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Effective error sttimation from continous, boundary admissible estimated stress fields

Cited by 15 publications

References 16 publications

Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error

Optimization of Sectional Dimensions of I-Section Flange Beams and Recommendations for IS 808: 1989

Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR‐C technique

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