Based on the displacement–pressure approximation computed with a stable finite element pair, a stress equilibration procedure for linear elasticity is proposed. Our focus is on the Taylor–Hood finite element space, with emphasis on the behavior for (nearly) incompressible materials. From a combination of displacement in the standard continuous finite element spaces of polynomial degrees k+1 and pressure in the standard continuous finite element spaces of polynomial degrees k, we construct an H(div)-conforming, weakly symmetric stress reconstruction. Explicit formulas are first given for a flux reconstruction and then for the stress reconstruction.
|Title of host publication||CISM International Centre for Mechanical Sciences, Courses and Lectures|
|Editors||Jörg Schröder, Paulo de Mattos Pimenta|
|Place of Publication||Springer|
|Publication status||Published - 2020|
|Name||CISM International Centre for Mechanical Sciences book series (CISM)|