The contribution takes up the concept of preventing locking a priori in the theory of thin-walled structures instead of curing it during discretization. After briefly summarizing the successful concept for avoiding transverse shear locking through reparametrization of primary variables for beams, plates and shells we concentrate on the same approach for preventing also membrane locking. Here, we describe first steps referring to the plane curved Bernoulli beam as a conceptual proof for the new method. Inspired by the so-called Mixed Displacement variational method we discuss three variants of replacing primary displacement parameters by alternative variables.
%0 Book Section
%1 bieber2022strategy
%A Bieber, Simon
%A Oesterle, Bastian
%A Bischoff, Manfred
%A Ramm, Ekkehard
%B Current Trends and Open Problems in Computational Mechanics
%D 2022
%E Aldakheel, Fadi
%E Hudobivnik, Blaz
%E Soleimani, Meisam
%E Wessels, Henning
%E Weißenfels, Christian
%E Marino, Michele
%I Springer, Cham.
%K Intrinsisch_Locking ibb
%R 10.1007/978-3-030-87312-7_7
%T Strategy for Preventing Membrane Locking Through Reparametrization
%X The contribution takes up the concept of preventing locking a priori in the theory of thin-walled structures instead of curing it during discretization. After briefly summarizing the successful concept for avoiding transverse shear locking through reparametrization of primary variables for beams, plates and shells we concentrate on the same approach for preventing also membrane locking. Here, we describe first steps referring to the plane curved Bernoulli beam as a conceptual proof for the new method. Inspired by the so-called Mixed Displacement variational method we discuss three variants of replacing primary displacement parameters by alternative variables.
@incollection{bieber2022strategy,
abstract = {The contribution takes up the concept of preventing locking a priori in the theory of thin-walled structures instead of curing it during discretization. After briefly summarizing the successful concept for avoiding transverse shear locking through reparametrization of primary variables for beams, plates and shells we concentrate on the same approach for preventing also membrane locking. Here, we describe first steps referring to the plane curved Bernoulli beam as a conceptual proof for the new method. Inspired by the so-called Mixed Displacement variational method we discuss three variants of replacing primary displacement parameters by alternative variables.},
added-at = {2022-09-08T16:41:49.000+0200},
author = {Bieber, Simon and Oesterle, Bastian and Bischoff, Manfred and Ramm, Ekkehard},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2ce210527e162377c6a54bb33b8c7b65f/ibb-publication},
booktitle = {Current Trends and Open Problems in Computational Mechanics},
doi = {10.1007/978-3-030-87312-7_7},
editor = {Aldakheel, Fadi and Hudobivnik, Blaz and Soleimani, Meisam and Wessels, Henning and Weißenfels, Christian and Marino, Michele},
interhash = {dfd0269030c5728cd78c01a5b1f0db78},
intrahash = {ce210527e162377c6a54bb33b8c7b65f},
keywords = {Intrinsisch_Locking ibb},
publisher = {Springer, Cham.},
timestamp = {2022-10-31T14:33:55.000+0100},
title = {Strategy for Preventing Membrane Locking Through Reparametrization},
year = 2022
}
