A finite element elasticity complex in three dimensions

L Chen, X Huang - Mathematics of Computation, 2022 - ams.org
… The polynomial elasticity complex and Koszul elasticity complex are … elasticity complex
and a Koszul type complex, which can be summarized as one double-directional complex

[BOOK][B] Complex variable methods in elasticity

AH England - 2012 - books.google.com
elastic displacement in terms of two arbitrary holomorphic functions of a complex variable
(the complex … equations relating the complex potentials on the boundaries of the elastic body. …

Complex potentials in two-dimensional elasticity

AC Stevenson - Proceedings of the Royal Society of …, 1945 - royalsocietypublishing.org
elastic problems for the stresses and displacements, including cases with body force,
depend upon two functions Q and w of a single complex variable, and which we term complex

A complex from linear elasticity

M Eastwood - Proceedings of the 19th Winter School" Geometry and …, 2000 - dml.cz
… Arnold for telling me about the linear elasticity complex and asking about its link to the de
Rham complex. … It was also noticed by Paul Bressler that the linear elasticity complex on RP3 …

Defferential complexes and stability of finite element methods ii: The elasticity complex

DN Arnold, RS Falk, R Winther - Compatible spatial discretizations, 2006 - Springer
… to show how the elasticity complex can be derived from the de Rham complex (basically …
of these elasticity complexes beginning from discrete analogues of the de Rham complex, …

[PDF][PDF] Some analytical issues for elastic complex fluids

F Lin - Comm. Pure Appl. Math, 2012 - academia.edu
… in complex fluids are different “elastic” effects. They can be the elasticity of deformable
particles; elastic … phases; immersed elastic boundaries; elasticity due to microstructures; or bulk …

The elasticity complex: compact embeddings and regular decompositions

D Pauly, W Zulehner - Applicable Analysis, 2023 - Taylor & Francis
… We investigate the Hilbert complex of elasticity involving spaces of symmetric tensor fields.
For the … and Rellich's selection theorem, which can be easily adapted to any Hilbert complex. …

[BOOK][B] Elasticity

RW Soutas-Little - 2012 - books.google.com
… of elasticity and placed the theory within this general framework. The student of elasticity may
view … In this book a survey of the methods and theories of linear elasticity will be conducted, …

[BOOK][B] Complex variable methods in plane elasticity

J Lu - 1995 - books.google.com
… represent a rigid motion of the elastic body³ and they may be neglected since they have no
influence on the equilibrium state of the elastic body. Thus, we have the complex expression …

[BOOK][B] Nonlinear mesoscopic elasticity: the complex behaviour of rocks, soil, concrete

RA Guyer, PA Johnson - 2009 - books.google.com
… hysteretic elastic elements, or strain elements with an elaborate stress response, Chapter 6.
The dynamics of elastic systems carrying these elastic elements can be complex because of …