Comment on the book by A. N. Guz', stability of elastic bodies under finite deformations, Izd-vo Naukova Dumka, Kiev (1973)

1974 ◽  
Vol 10 (9) ◽  
pp. 1033-1033 ◽  
Author(s):  
A. N. Guz'
Keyword(s):  
Naukova Dumka ◽  
Finite Deformations ◽  
Elastic Bodies

Tensorial Deformation Measures for Flexible Joints

2010 ◽  
Vol 6 (3) ◽  
Author(s):  
Olivier A. Bauchau ◽  
Leihong Li ◽  
Pierangelo Masarati ◽  
Marco Morandini
Keyword(s):  
Finite Deformation ◽  
Nonlinear Behavior ◽  
Critical Issue ◽  
Finite Deformations ◽  
Flexible Joints ◽  
Elastic Bodies ◽  
Infinitesimal Deformations ◽  
Stiffness Characteristics ◽  
Definition Of

Flexible joints, sometimes called bushing elements or force elements, are found in all multibody dynamics codes. In their simplest form, flexible joints simply consist of sets of three linear and three torsional springs placed between two nodes of a multibody system. For infinitesimal deformations, the selection of the lumped spring constants is an easy task, which can be based on a numerical simulation of the joint or on experimental measurements. If the joint undergoes finite deformations, the identification of its stiffness characteristics is not so simple, especially if the joint itself is a complex system. When finite deformations occur, the definition of deformation measures becomes a critical issue. Indeed, for finite deformation, the observed nonlinear behavior of materials is partly due to material characteristics and partly due to kinematics. This paper focuses on the determination of the proper finite deformation measures for elastic bodies of finite dimension. In contrast, classical strain measures, such as the Green–Lagrange or Almansi strains, among many others, characterize finite deformations of infinitesimal elements of a body. It is argued that proper finite deformation measures must be of a tensorial nature, i.e., must present specific invariance characteristics. This requirement is satisfied if and only if the deformation measures are parallel to the eigenvector of the motion tensor.

Interaction and Microfracturing Pattern for Successive Origination (Introduction) of Pores in Elastic Bodies: Finite Deformation

1998 ◽  
Vol 65 (2) ◽  
pp. 431-435 ◽  
Author(s):  
V. A. Levin ◽  
K. M. Zingerman
Keyword(s):  
Finite Deformation ◽  
Elastic Interaction ◽  
Finite Deformations ◽  
Qualitative And Quantitative ◽  
Elastic Bodies

The elastic interaction of holes, micropores, and narrow slots (cracks), introduced (originated) successively or simultaneously in previously loaded bodies, is analyzed under finite deformations. Their origination raises an additional finite deformations superimposed on the finite initial ones. The influence of mutual positions of holes, distances between them, their eccentricities and sizes on interaction is investigated. Qualitative and quantitative effects concerned with the finiteness of strains are considered.

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