scholarly journals Geometry of Logarithmic Strain Measures in Solid Mechanics

2016 ◽  
Vol 222 (2) ◽  
pp. 507-572 ◽  
Author(s):  
Patrizio Neff ◽  
Bernhard Eidel ◽  
Robert J. Martin
Keyword(s):  
Solid Mechanics ◽  
Logarithmic Strain ◽  
Strain Measures

On stress rates in solid mechanics with application to elasticity theory

1974 ◽  
Vol 75 (2) ◽  
pp. 303-319 ◽  
Author(s):  
R. W. Ogden
Keyword(s):  
Elasticity Theory ◽  
Solid Mechanics ◽  
Constitutive Relations ◽  
Strain Analysis ◽  
Stress And Strain ◽  
Solid Materials ◽  
Strain Measure ◽  
Careful Choice ◽  
Further Development ◽  
Strain Measures

The efficacy of making a careful choice of strain measure in problems of solid mechanics was recognized and fully exploited by Hill(1–4). He brought coherence to fundamental stress and strain analysis by the introduction of the idea of conjugate pairs of stress and strain measures, and provided a platform for the further development of constitutive relations for solid materials.

A brief history of logarithmic strain measures in nonlinear elasticity

PAMM ◽  
2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Robert J. Martin ◽  
Ingo Münch ◽  
Bernhard Eidel ◽  
Patrizio Neff
Keyword(s):  
Nonlinear Elasticity ◽  
Logarithmic Strain ◽  
History Of ◽  
Strain Measures

scholarly journals Evaluation of Strains and Thicknesses of Pipe Elbows on the Basis of Expressions Resulting from the Eudirective for the Case of Large and Small Deformations

2017 ◽  
Vol 22 (4) ◽  
pp. 1113-1127
Author(s):  
Z. Śloderbach
Keyword(s):  
Wall Thickness ◽  
Large Deformations ◽  
Engineering Practice ◽  
Logarithmic Strain ◽  
Eu Directive ◽  
Maximum Value ◽  
Relative Strain ◽  
Strain Measures ◽  
Small Deformations ◽  
The Eu

Abstract The relations to calculate the maximum value of strains in processes of bending tubes on benders, in stretched layers of tubes, are presented in this work on the basis of the EU-Directive concerning production of pressure equipment. It has been shown that for large deformations that occur during bending of the pipes on knees, logarithmic strain measures (real) and relative strain measures give different values of strain but equal wall thicknesses in the bending zone. Logarithmic measures are frequently used in engineering practice and are valid for large and small deformations. Reverse expressions were also derived to calculate the required initial wall thickness of the tube to be bent, in order to obtain the desired wall thickness of the knee after bending.

Applied Solid Mechanics

2001 ◽  
Author(s):  
Peter Howell ◽  
Gregory Kozyreff ◽  
John Ockendon
Keyword(s):  
Solid Mechanics

Nonlinear Fracture Mechanics Analysis Considering Material Inhomogeneity of Welded Joints

Impact ◽  
2019 ◽  
Vol 2019 (10) ◽  
pp. 105-107
Author(s):  
Hiroshi Okada
Keyword(s):  
Fracture Mechanics ◽  
Solid Mechanics ◽  
Crack Nucleation ◽  
Intensity Factors ◽  
Nonlinear Fracture Mechanics ◽  
Material Inhomogeneity ◽  
Computational Fracture Mechanics ◽  
New Methods ◽  
Nonlinear Fracture ◽  
Mechanics Analysis

Professor Hiroshi Okada and his team from the Department of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of Science, Japan, are engaged in the field of computational fracture mechanics. This is an area of computational engineering that refers to the creation of numerical methods to approximate the crack evolutions predicted by new classes of fracture mechanics models. For many years, it has been used to determine stress intensity factors and, more recently, has expanded into the simulation of crack nucleation and propagation. In their work, the researchers are proposing new methods for fracture mechanics analysis and solid mechanics analysis.

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