frame invariance
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Finite elasticity

2020 ◽  
pp. 611-636
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Finite Deformation ◽  
Constitutive Relations ◽  
Finite Elasticity ◽  
Important Case ◽  
Material Symmetry ◽  
Isotropic Materials ◽  
Frame Invariance ◽  
Stress Tensors ◽  
Kinematic Measures ◽  
Material Frame

This chapter provides an overview of the theory of finite elasticity including a review of finite deformation kinematic measures, stress tensors for finite deformation, the concept of material frame invariance and change of frame, and constitutive relations. Material symmetry is discussed, and the important case of isotropy is presented. Special considerations needed for incompressible isotropic materials are elaborated upon.

scholarly journals Frame-invariance in finite element formulations of geometrically exact rods

2016 ◽  
Vol 37 (12) ◽  
pp. 1669-1688
Author(s):  
Peinan Zhong ◽  
Guojun Huang ◽  
Guowei Yang
Keyword(s):  
Finite Element ◽  
Frame Invariance ◽  
Finite Element Formulations

CFD Analysis of the Frame Invariance of the Melt Temperature Rise in a Single-screw Extruder

2013 ◽  
Vol 28 (5) ◽  
pp. 463-469 ◽  
Author(s):  
F. Habla ◽  
S. Obermeier ◽  
L. Dietsche ◽  
O. Kintzel ◽  
O. Hinrichsen
Keyword(s):  
Temperature Rise ◽  
Cfd Analysis ◽  
Screw Extruder ◽  
Melt Temperature ◽  
Single Screw ◽  
Single Screw Extruder ◽  
Frame Invariance

Comment on “Generalization of Einstein’s synchronization for the case of anisotropic light speed”1Appears in Can. J. Phys. 87, 969.

2012 ◽  
Vol 90 (2) ◽  
pp. 207-210 ◽  
Author(s):  
Alon Drory
Keyword(s):  
Special Relativity ◽  
Recent Article ◽  
Speed Of Light ◽  
Light Speed ◽  
Principle Of Relativity ◽  
Frame Invariance ◽  
Anisotropic Light Speed

In a recent article, A. Sfarti attempted to derive the frame-invariance of the speed of light from the principle of relativity, thereby eliminating the second postulate from the foundations of special relativity (Can. J. Phys. 87, 969 (2009)). I analyse his derivation and conclude that it is incorrect.

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