Special integral variation of trees

2006 ◽  
Vol 26 (1) ◽  
pp. 49
Author(s):  
Yi-Zheng Fan ◽  
Yi Wang
Keyword(s):  
Special Integral ◽  
Integral Variation

scholarly journals SPECIAL SPLINES OF HYPERBOLIC TYPE FOR THE SOLUTIONS OF HEAT AND MASS TRANSFER 3-D PROBLEMS IN POROUS MULTI-LAYERED AXIAL SYMMETRY DOMAIN

2017 ◽  
Vol 22 (4) ◽  
pp. 425-440
Author(s):  
Harijs Kalis ◽  
Andris Buikis ◽  
Aivars Aboltins ◽  
Ilmars Kangro
Keyword(s):  
Differential Equations ◽  
Transfer Problem ◽  
Circular Cross Section ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Rate Of Change ◽  
Wood Block ◽  
Initial Value ◽  
Special Integral ◽  
Initial Boundary Value

In this paper we study the problem of the diffusion of one substance through the pores of a porous multi layered material which may absorb and immobilize some of the diffusing substances with the evolution or absorption of heat. As an example we consider circular cross section wood-block with two layers in the radial direction. We consider the transfer of heat process. We derive the system of two partial differential equations (PDEs) - one expressing the rate of change of concentration of water vapour in the air spaces and the other - the rate of change of temperature in every layer. The approximation of corresponding initial boundary value problem of the system of PDEs is based on the conservative averaging method (CAM) with special integral splines. This procedure allows reduce the 3-D axis-symmetrical transfer problem in multi-layered domain described by a system of PDEs to initial value problem for a system of ordinary differential equations (ODEs) of the first order.

scholarly journals Fatigue Life Prediction for Cord-Rubber Composite Tires Using a Global-Local Finite Element Method

2004 ◽  
Vol 32 (1) ◽  
pp. 23-40 ◽  
Author(s):  
Y. H. Han ◽  
E. B. Becker ◽  
E. P. Fahrenthold ◽  
D. M. Kim
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Local Model ◽  
Crack Model ◽  
Rate Analysis ◽  
Rubber Composite ◽  
Dimensional Finite Element ◽  
Mesh Density ◽  
Integral Variation ◽  
Three Dimensional Finite Element

Abstract A failure analysis, based on fracture mechanics, may be useful for predicting the lifetime of a cord-reinforced rubber composite pneumatic tire. This paper presents a new three-dimensional Finite Element (FE) local model to calculate the energy release rate at the belt edge region. The new local model uses a three-dimensional (3D) Finite Element Modeling (FEM) fracture analysis based on a steady-state rolling assumption, in conjunction with a global-local technique in ABAQUS. Within the local model, a J-integral variation study is performed in the crack region. This consists of a prediction of the crack propagation direction and a mesh density analysis of the crack model. Furthermore, the study is used to determine the crack growth rate analysis. This study assumes that a flaw exists inside the tire, in the local model, due to a mechanical inhomogeneity introduced in the manufacturing of the tire. This paper also considers how different driving conditions, such as free-rolling, braking and traction, contribute to the detrimental effects of belt separation in tire failure.

Experiments Method Design Applied to Optimization of Patch Repairs for Cracked Plates

2013 ◽  
Vol 577-578 ◽  
pp. 441-444
Author(s):  
M. Belhouari ◽  
S.M. Fekih ◽  
K. Madani ◽  
A. Amiri ◽  
Bel Abbès Bachir Bouiadjra
Keyword(s):  
Design Method ◽  
Three Dimensional ◽  
Aircraft Structures ◽  
Patch Shape ◽  
Cracked Plates ◽  
Repair Efficiency ◽  
Experimental Design Method ◽  
Bonded Composite ◽  
Patch Repairs ◽  
Integral Variation

The optimization of the patch shape of bonded composite repair in aircraft structures is an efficient way to improve the repair performance. In this study the three-dimensional nonlinear finite element method is used to determine the J integral variation along the front of repaired crack with bonded composite patch in aircraft structures. The experimental design method was applied to optimize the patch shape and size in order to determine the most influencing dimension on the repair efficiency.

Interface Crack Problem for Electroelastic Body

2000 ◽  
Vol 7 (2) ◽  
pp. 231-244
Author(s):  
L. Bitsadze
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Displacement Vector ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Representation Formula ◽  
Potential Method ◽  
Integral Representation Formula ◽  
Homogeneous Plane ◽  
Special Integral

Abstract A two-dimensional crack problem in the Comninou formulation is investigated for a piecewise homogeneous plane. Applying a special integral representation formula for the displacement vector the problem is reduced to a system of singular integral equations. The system is analysed and its solvability is proved using the potential method and the theory of singular integral equations.

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