59 Result(s)
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Article
S.N. Atluri
Engineering
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Article
A comparison of classical Runge-Kutta and Henon’s methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity
A typical two-dimensional airfoil with freeplay nonlinearity in pitch undergoing subsonic flow is studied via numerical integration methods. Due to the existence of the discontinuous nonlinearity, the classica...
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Article
An experimental—Numerical evaluation of theT ε * integral for a three-dimensional crack front
TheT ε * integral was calculated on the surface of single edge notched, three-point bend (SE(B)) specimens using experimentally obtained displacements. Compar...
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Article
Conducting cracks in dissimilar piezoelectric media
Complete stress and electric fields near the tip of a conducting crack between two dissimilar anisotropic piezoelectric media, are obtained in terms of two generalized bimaterial matrices proposed in this pape...
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Application of the Local Boundary Integral Equation Method to Boundary-Value Problems
A review of the meshless formulations based on local boundary integral equation (LBIE) methods is presented. Physical quantities are approximated by the moving least-squares method. A summary of recent develop...
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Article
Crack linkup: An experimental analysis
TheT ɛ * integral was used to assess stable crack growth and crack linkup in 0.8 mm thick 2024-T3 aluminum tension specimens with multiple site damage (MSD) u...
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A consistent theory of finite stretches and finite rotations, in space-curved beams of arbitrary cross-section
Attention is focused in this paper on the development of a consistent finite deformation beam theory, and its mixed variational formulation. The shearing deformation, as well as cross-sectional war** displa...
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Numerical integration of singularities in meshless implementation of local boundary integral equations
The necessity of a special treatment of the numerical integration of the boundary integrals with singular kernels is revealed for meshless implementation of the local boundary integral equations in linear ela...
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The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
The meshless local Petrov-Galerkin (MLPG) approach is an effective method for solving boundary value problems, using a local symmetric weak form and shape functions from the moving least squares approximation...
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Article
The local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity
The meshless method based on the local boundary integral equation (LBIE) is a promising method for solving boundary value problems, using an local unsymmetric weak form and shape functions from the moving lea...
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Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. ...
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Article
Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations
In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the field variable into the interpolation scheme. By using...
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Article
A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods
The essential features of the Meshless Local Petrov-Galerkin (MLPG) method, and of the Local Boundary Integral Equation (LBIE) method, are critically examined from the points of view of a non-element interpol...
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Further studies on the characteristics of the T * ɛ integral: Plane stress stable crack propagation in ductile materials
Some Characteristic behavior of the T * ɛ (Atluri, Nishioka and Nakagaki (1984)) is identified in this paper through an extensive numerical study. T * ɛ is a near tip contour integral and has been known to measu...
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Article
Mathematical aspects of the general hybrid-mixed finite element methods and singular-value principle
In this paper the general hybrid-mixed finite element methods are investigated systematically in a framework of multi-field variational equations. The commonly accepted concept “saddle point problem” is argue...
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A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
A local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential pro...
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Article
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
A new meshless method for solving nonlinear boundary value problems, based on the local boundary integral equation (LBIE) method and the moving least squares approximation, is proposed in the present paper. T...
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Article
Mixed mode fatigue growth of curved cracks emanating from fastener holes in aircraft lap joints
The finite element alternating method is extended further for analyzing multiple arbitrarily curved cracks in an isotropic plate under plane stress loading. The required analytical solution for an arbitrarily...
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A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
The Galerkin finite element method (GFEM) owes its popularity to the local nature of nodal basis functions, i.e., the nodal basis function, when viewed globally, is non-zero only over a patch of elements conn...
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A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
The Element free Galerkin method, which is based on the Moving Least Squares approximation, requires only nodal data and no element connectivity, and therefore is more flexible than the conventional finite el...
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Stress intensity factors as the fracture parameters for delamination crack growth in composite laminates
A “mutual integral” approach is used to calculate the mixed-mode stress intensity factors for a free-edge delamination crack in a laminate under tensile loading conditions. This “mutual integral” approach, fo...
