Applied Mathematics
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Applied Mathematics at the University of Adelaide is one of the leading groups in teaching and research in Australia. Members conduct internationally recognized research into a wide range of Applied Mathematics. The research within Applied Mathematics can be loosely grouped into the following areas.
- Biomedical Engineering
- Fluid Dynamics
- Optimisation
- Stochastic Modelling
- Teletraffic Research
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Browsing Applied Mathematics by Author "Ang, W."
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Item Metadata only A boundary element method for a second order elliptic partial differential equation with variable coefficients(ELSEVIER SCI LTD, 1997) Ang, W.; Kusuma, J.; Clements, D.A boundary element method is derived for solving a class of boundary value problems governed by an elliptic second order linear partial differential equation with variable coefficients. Numerical results are given for a specific test problem.Item Metadata only A boundary element method for generalized plane thermoelastic deformations of anistropic elastic media(SAGE PUBLICATIONS INC, 1999) Ang, W.; Clements, D.; Cooke, T.A boundary element method is derived for solving a class of boundary value problems governing generalized plane thermoelastic deformations of anisotropic elastic materials. The method involves boundary integrals only and provides a simple boundary element procedure for a wide class of problems which do not involve inertia or coupling effects. Numerical results are given for some specific problems in order to assess the effectiveness of the method.Item Metadata only A boundary integral formulation for the indentation of an anisotropic bi-layered elastic slab(Springer, 2006) Ang, W.; Sridhar, I.; Clements, D.; First International Conference on Computational Methods. (2004 : Singapore); Liu, G.This conference proceedings contains some 290 papers from more than 30 countries/regions. The papers cover a broad range of topics such as meshfree particle methods, Generalized FE and Extended FE methods, inverse analysis and optimization methods. Computational methods for geomechanics, machine learning, vibration, shock, impact, health monitoring, material modeling, fracture and damage mechanics, multi-physics and multi-scales simulation, sports and environments are also included. All the papers are pre-reviewed before they are accepted for publication in this proceedings. The proceedings will provide an informative, timely and invaluable resource for engineers and scientists working in the important areas of computational methods.Item Metadata only A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity(Gordon and Breach, 1999) Ang, W.; Clements, D.; Cooke, T.A boundary element method based on the Cauchy's integral formulae, called the complex variable boundary element method (CVBEM), is proposed for the numerical solution of boundary value problems governing plane thermoelastic deformations of anisotropic elastic bodies. The method is applicable for a wide class of problems which do not involve inertia or coupling effects and can be easily and efficiently implemented on the computer. It is applied to solve specific test problems.Item Metadata only A dual-reciprocity boundary element method for a class of elliptic boundary value problems for non-homogenous anisotropic media(Elsevier Sci Ltd, 2003) Ang, W.; Clements, D.; Vahdati, N.A dual-reciprocity boundary element method is proposed for the numerical solution of a two-dimensional boundary value problem (BVP) governed by an elliptic partial differential equation with variable coefficients. The BVP under consideration has applications in a wide range of engineering problems of practical interest, such as in the calculation of antiplane stresses or temperature in non-homogeneous anisotropic media. The proposed numerical method is applied to solve specific test problems.Item Metadata only A hypersingular boundary integral equation for a class of antiplane multiple crack problems for inhomogeneous elastic materials(JOHN WILEY & SONS LTD, 1999) Ang, W.; Clements, D.; Cooke, T.Item Metadata only A Hypersingular Boundary Integral Equation for Antiplane Crack Problems for a Class of Inhomogeneous Anisotropic Elastic Materials(ELSEVIER SCI LTD, 1999) Ang, W.; Clements, D.; Cooke, T.An antiplane multiple crack problem is considered for a class of inhomogeneous anisotropic elastic materials. The problem is reduced to a boundary integral equation involving hypersingular integrals. The boundary integral equation may be solved numerically using standard procedures. Some crack problems for a particular inhomogeneous material is considered in detail and the stress intensity factors are obtained in order to asses the effect of the anisotropy and inhomogeneity on the stress field near the crack ripe.Item Metadata only A note on antiplane deformations of inhomogeneous elastic materials(PERGAMON-ELSEVIER SCIENCE LTD, 1997) Clements, D.; Kusuma, J.; Ang, W.This paper formally obtains the solution of the equations of antiplane inhomogeneous elasticity in terms of an arbitrary analytic function for the case when the shear modulus varies continuously with two Cartesian coordinates. The solution is used to solve a particular boundary value problem involving a crack in an inhomogeneous material. © 1997 Elsevier Science Ltd.Item Metadata only A Periodic Array of Staggered Planar Cracks in an Anistropic Elastic Medium(PERGAMON-ELSEVIER SCIENCE LTD, 1996) Clements, D.; Ang, W.The problem of determining the elastic displacements and stresses in an infinite anisotropic medium containing a periodic array of staggered planar cracks is considered. It is reduced to a system of Hadamard finite-part singular (hypersingular) integral equations with the crack-opening displacements as unknown functions. The integral equations may be solved numerically by a collocation technique. Numerical results for specific cases involving isotropic and transversely isotropic materials are obtained.Item Metadata only CVBEM for a class of linear crack problems(Sage Publications Inc, 2000) Ang, W.; Clements, D.; Dehghan, M.A boundary element method based on the Cauchy integral formulae is proposed for the numerical solution of a class of linear crack problems in anisotropic elasticity. Some specific test problems are solved using this method.Item Metadata only Hypersingular Integral Equations for a Thermoelastic Problem of Multiple Planar Cracks in an Anisotropic Medium(ELSEVIER SCI LTD, 1999) Ang, W.; Clements, D.The problem of calculating the thermoelastic stress around an arbitrary number of arbitrarily located planar cracks in an infinite anisotropic medium is considered. The cracks open up under the action of suitably prescribed heat flux and traction. With the aid of suitable integral solutions, we reduce the problem to solving a system of Hadamard finite-part (hypersingular) integral equations. The hypersingular integral equations are solved for specific cases of the problem.Item Metadata only Hypersingular integral equations for multiple interacting cracks in an elastic layered material under antiplane shear stresses(Elsevier, 1995) Clements, D.; Ang, W.A system of Hadamard finite-part singular (hypersingular) integral equations is derived for an antiplane elastic problem involving an arbitrary number of arbitrarily-located planar cracks in a tri-layered material. The equations are solved approximately to compute the stress intensity factors for specific cases of the problems.Item Metadata only On a generalised plane strain crack problem for inhomogeneous anisotropic elastic materials(Pergamon-Elsevier Science Ltd, 2006) Clements, D.; Ang, W.A generalised plane strain crack problem is considered for a class of inhomogeneous anisotropic elastic materials. The problem is reduced to a boundary integral equation involving hypersingular integrals. The boundary integral equation may be solved numerically using standard procedures. Some crack problems for a particular inhomogeneous material are considered in detail and the stress intensity factors are obtained in order to assess the effect of the anisotropy and inhomogeneity on the stress field near the crack tipsItem Metadata only On the indentation of an inhomogeneous anisotropic elastic material by multiple straight rigid punches(Elsevier Sci Ltd, 2006) Clements, D.; Ang, W.A generalised plane strain problem concerning the indentation of an inhomogeneous anisotropic elastic material by mutiple straight rigid punches is considered. The problem is reduced to a boundary integral equation with the stresses over the contact regions being represented in terms of Chebyschev polynomials. The boundary integral equation is solved numerically for some particular antiplane contact problems involving one or two contact regions and the stress intensity factors at the ends of the contact regions are calculated. The effect of anisotropy and inhomogeneity on the stress intensity factors is examined through the illustrative examples. The analysis is relevant for a class of geomechanics problems involving inhomogeneous materials.