Torsion of rubber-like hollow and solid circular cylinders for incompressible hyperelastic materials with limiting chain extensibility

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

Download Full-text

Numerical Investigation of Flow and Heat Transfer around Two Semi-Circular Cylinders with a Splitter Plate

Heat Transfer Research ◽

10.1615/heattransres.2012001664 ◽

2011 ◽

Vol 42 (7) ◽

pp. 595-612

Author(s):

Masome Heidary ◽

Mousa Farhadi ◽

Kurosh Sedighi ◽

Mostafa Nourollahi

Keyword(s):

Heat Transfer ◽

Numerical Investigation ◽

Splitter Plate ◽

Circular Cylinders ◽

Flow And Heat Transfer

Download Full-text

A STUDY OF CONVECTIVE HEAT AND MASS TRANSFER FROM CIRCULAR CYLINDERS EXPOSED TO A JET FLOW

Proceeding of International Heat Transfer Conference 10 ◽

10.1615/ihtc10.1110 ◽

1994 ◽

Author(s):

T. Pekdemir ◽

T. W. Davies

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Convective Heat ◽

Jet Flow ◽

Circular Cylinders

Download Full-text

A Unified Correlation of Laminar Convective Heat Transfer from Hot and Cold Circular Cylinders in a Uniform Flow

International Journal of Fluid Mechanics Research ◽

10.1615/interjfluidmechres.v25.i4-6.30 ◽

1998 ◽

Vol 25 (4-6) ◽

pp. 482-495

Author(s):

Shin-Hyung Kang ◽

K.-H. Hong ◽

Sangken Kauh

Keyword(s):

Heat Transfer ◽

Convective Heat Transfer ◽

Convective Heat ◽

Uniform Flow ◽

Circular Cylinders

Download Full-text

An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials

Tire Science and Technology ◽

10.2346/1.3684484 ◽

2012 ◽

Vol 40 (1) ◽

pp. 42-58 ◽

Cited By ~ 6

Author(s):

R. R. M. Ozelo ◽

P. Sollero ◽

A. L. A. Costa

Keyword(s):

Constitutive Model ◽

Crack Propagation ◽

Experimental Tests ◽

Growth Direction ◽

Propagation Path ◽

J Integral ◽

Alternative Technique ◽

Crack Propagation Path ◽

Hyperelastic Materials ◽

Material Constitutive Model

Abstract REFERENCE: R. R. M. Ozelo, P. Sollero, and A. L. A. Costa, “An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials,” Tire Science and Technology, TSTCA, Vol. 40, No. 1, January–March 2012, pp. 42–58. ABSTRACT: The analysis of crack propagation in tires aims to provide safety and reliable life prediction. Tire materials are usually nonlinear and present a hyperelastic behavior. Therefore, the use of nonlinear fracture mechanics theory and a hyperelastic material constitutive model are necessary. The material constitutive model used in this work is the Mooney–Rivlin. There are many techniques available to evaluate the crack propagation path in linear elastic materials and estimate the growth direction. However, most of these techniques are not applicable to hyperelastic materials. This paper presents an alternative technique for modeling crack propagation in hyperelastic materials, based in the J-Integral, to evaluate the crack path. The J-Integral is an energy-based parameter and is applicable to nonlinear materials. The technique was applied using abaqus software and compared to experimental tests.

Download Full-text

Unfoldings of the Circular Cylinders Having Non-Competitive Axles

Scientific Bulletin of Valahia University - Materials and Mechanics ◽

10.2478/bsmm-2019-0008 ◽

2019 ◽

Vol 17 (16) ◽

pp. 52-55

Author(s):

Carmen Popa ◽

Violeta Anghelina ◽

Octavian Munteanu

Keyword(s):

Classical Method ◽

Descriptive Geometry ◽

Circular Cylinders ◽

Intersection Curve ◽

Engineering Sciences

Abstract The descriptive geometry constitues the foundation of the engineering sciences, so necessary to the specialists of this field. The aim of this paper is to establish the intersection curve between two cylinders and their unfoldings, by using the programmes:AutoCAD and Mathematica. We used the classical method and we first establish the intersection curve and then the cylinders unfoldings. To do this, we used the AutoCAD program. The same unfoldings can be obtained by introducing directly the curve equations (which are inferred) in Mathematica program.

Download Full-text