scholarly journals Erratum and addendum to “Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity”, this archive, volume 106 (1989): 97–159

1990 ◽  
Vol 109 (4) ◽  
pp. 385-392 ◽  
Author(s):  
Mariano Giaquinta ◽  
Giuseppe Modica ◽  
Jiří Souček
Keyword(s):  
Nonlinear Elasticity ◽  
Existence Theorems ◽  
Cartesian Currents

Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity

1989 ◽  
Vol 106 (2) ◽  
pp. 97-159 ◽  
Author(s):  
Mariano Giaquinta ◽  
Giuseppe Modica ◽  
Jiří souček
Keyword(s):  
Nonlinear Elasticity ◽  
Existence Theorems ◽  
Cartesian Currents

scholarly journals Existence theorems in intrinsic nonlinear elasticity

2010 ◽  
Vol 94 (3) ◽  
pp. 229-243 ◽  
Author(s):  
Philippe G. Ciarlet ◽  
Cristinel Mardare
Keyword(s):  
Nonlinear Elasticity ◽  
Existence Theorems

Teichmuller Geometry

2017 ◽  
Author(s):  
Benson Farb ◽  
Dan Margalit
Keyword(s):  
Uniqueness Theorem ◽  
Existence Theorems ◽  
Quadratic Differentials ◽  
Complex Structures ◽  
Metric Geometry ◽  
Quasiconformal Maps ◽  
Hyperbolic Structures ◽  
Teichmüller Metric ◽  
Uniqueness And Existence ◽  
Teichmüller Mapping

This chapter focuses on the metric geometry of Teichmüller space. It first explains how one can think of Teich(Sɡ) as the space of complex structures on Sɡ. To this end, the chapter defines quasiconformal maps between surfaces and presents a solution to the resulting Teichmüller's extremal problem. It also considers the correspondence between complex structures and hyperbolic structures, along with the Teichmüller mapping, Teichmüller metric, and the proof of Teichmüller's uniqueness and existence theorems. The fundamental connection between Teichmüller's theorems, holomorphic quadratic differentials, and measured foliations is discussed as well. Finally, the chapter describes the Grötzsch's problem, whose solution is tied to the proof of Teichmüller's uniqueness theorem.

Variant of Nonlinear Elasticity Relations

2019 ◽  
Vol 54 (8) ◽  
pp. 1182-1188
Author(s):  
A. A. Markin ◽  
M. Yu. Sokolova
Keyword(s):  
Nonlinear Elasticity

Exploration of trabecular bone nonlinear elasticity using time of flight modulation

2007 ◽  
Author(s):  
Guillaume Renaud ◽  
Samuel Callé ◽  
Jean-Pierre Remenieras ◽  
Marielle Defontaine
Keyword(s):  
Trabecular Bone ◽  
Nonlinear Elasticity ◽  
Time Of Flight
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