Author: R. M. ThompsonPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
The Boundary-integral Equation Method Applied to the Derivation of Stress Concentration and Stress Intensity Factors
Author: R. M. ThompsonThe Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems
Author: Adib A. BakrPublisher: Springer Science & Business Media
ISBN: 364282644X
Category : Science
Languages : en
Pages : 227
Book Description
The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems. This book presents the application of this technique to axisymmetric engineering problems, where the geometry and applied loads are symmetrical about an axis of rotation. Emphasis is placed on using isoparametric quadratic elements which exhibit excellent modelling capabilities. Efficient numerical integration schemes are also presented in detail. Unlike the Finite Element Method (FEM), the BIE adaptation to axisymmetric problems is not a straightforward modification of the two or three-dimensional formulations. Two approaches can be used; either a purely axisymmetric approach based on assuming a ring of load, or, alternatively, integrating the three-dimensional fundamental solution of a point load around the axis of rotational symmetry. Throughout this ~ook, both approaches are used and are shown to arrive at identi cal solutions. The book starts with axisymmetric potential problems and extends the formulation to elasticity, thermoelasticity, centrifugal and fracture mechanics problems. The accuracy of the formulation is demonstrated by solving several practical engineering problems and comparing the BIE solution to analytical or other numerical methods such as the FEM. This book provides a foundation for further research into axisymmetric prob lems, such as elastoplasticity, contact, time-dependent and creep prob lems.
Stress Concentration and Stress Intensity Factors Using Conformal Mapping and the Complex Variable Boundary Integral Equation Method
Author: Glaucio Hermogenes PaulinoPublisher:
ISBN:
Category :
Languages : en
Pages : 218
Book Description
Stress Analysis by Boundary Element Methods
Author: J. BalašPublisher: Elsevier
ISBN: 148329174X
Category : Technology & Engineering
Languages : en
Pages : 699
Book Description
The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.
Application of the Hypersingular Boundary Integral Equation in Evaluating Stress Intensity Factors for 2D Elastostatic Fracture Mechanics Problems
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 80
Book Description
Boundary element method is a numerical method that can be advantageously used for a wide range of engineering problems, including the stress concentration problems encountered in fracture mechanics. In linear elastic fracture mechanics (LEFM), the stress intensity factor (SIF) is an important parameter. Cracks, if present in the region experiencing the modes of deformation, increase the stress amplitude significantly and this high stress may lead to premature failure of the engineering components. Knowing the value of the SIF, one can predict if the crack will propagate or not. As the conventional boundary integral equation (CBIE) degenerates when a mathematical crack is modeled, dual boundary integral equation approach developed earlier has been adopted in the current work. It utilizes the hypersingular boundary integral equation (HBIE) along with the CBIE. Weakly singular form of HBIE is utilized in the current work to eliminate the hypersingularity analytically. SIFs are evaluated using the crack opening displacement (COD), displacement extrapolation (DE) and the J-integral approaches. A stand-alone code has been developed in C++ for calculating the SIFs of general 2D domains with cracks. The code has been validated by evaluating the SIFs for the standard components, for which the SIF values are available in the literature. Accurate and well converged results are obtained proving the robustness of the code. A linear combination of the CBIE and HBIE was applied at the crack and significant (87% - 97%) reduction in the condition numbers for the system of equations was observed for the examples studied. Again, the results obtained are accurate and well converged. To the best of author's knowledge this approach has not been reported in the literature for elastostatic crack problems.
Applied Mechanics Reviews
Author: Boundary-integral Equation Method
Author: Thomas A. CrusePublisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 164
Book Description
ERDA Energy Research Abstracts
Author: ERDA Energy Research Abstracts
Author: United States. Energy Research and Development Administration. Technical Information CenterPublisher:
ISBN:
Category : Force and energy
Languages : en
Pages : 1680
Book Description
Damage and Fracture Mechanics
Author: Taoufik BoukharoubaPublisher: Springer Science & Business Media
ISBN: 904812669X
Category : Science
Languages : en
Pages : 616
Book Description
The First African InterQuadrennial ICF Conference “AIQ-ICF2008” on Damage and Fracture Mechanics – Failure Analysis of Engineering Materials and Structures”, Algiers, Algeria, June 1–5, 2008 is the first in the series of InterQuadrennial Conferences on Fracture to be held in the continent of Africa. During the conference, African researchers have shown that they merit a strong reputation in international circles and continue to make substantial contributions to the field of fracture mechanics. As in most countries, the research effort in Africa is und- taken at the industrial, academic, private sector and governmental levels, and covers the whole spectrum of fracture and fatigue. The AIQ-ICF2008 has brought together researchers and engineers to review and discuss advances in the development of methods and approaches on Damage and Fracture Mechanics. By bringing together the leading international experts in the field, AIQ-ICF promotes technology transfer and provides a forum for industry and researchers of the host nation to present their accomplishments and to develop new ideas at the highest level. International Conferences have an important role to play in the technology transfer process, especially in terms of the relationships to be established between the participants and the informal exchange of ideas that this ICF offers.