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Material Nonlinearities and Coupled Problems

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Nonlinearities arise from two independent sources: nonlinearity due to changes in the geometry or position of the material particles of a continuum, which is called the geometric nonlinearity, and ... More


Nonlinear Bending of Elastic Plates

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter develops the classical plate theory (CPT) and first-order shear deformation plate theory (FSDT) based on assumed displacement fields and accounting for the von Káarmán nonlinearity. The ... More


Nonlinear Bending of Elastic Shells

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the first-order shear deformation shell theory and its displacement finite element model. Beginning with the geometry description of a doubly-curved shell, it presents the ... More


Representability of Moduli Problems

Kai-Wen Lan

in Arithmetic Compactifications of PEL-Type Shimura Varieties

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691156545
eISBN:
9781400846016
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691156545.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter elaborates on the representability of the moduli problems defined in the previous chapter. The treatment here is biased towards the prorepresentability of local moduli and Artin's ... More


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