Element Method In Engineering Research Articles

Book reviews [7 books reviewed

The following 7 books are reviewed: Magnetic Field Measurement with Applications to Modern Power Grids (Huang, Q., et al; 2020); College Physics Essentials— Volume One and Volume Two (Das, J.C.; 2020); Distributed Fiber Optic Sensing and Dynamic Rating of Power Cables (Cherukupalli, S. and Anders, G.J.; 2020); Lens Design—A Practical Guide (Sun, H.; 2017); The Finite Element Method in Engineering, 6th Edition (Rao, S.S.; 2018); Introduction to Phase Diagrams in Materials Science and Engineering (Saka, H.; 2019); and Wearable Solar Cell Systems (Wilson, D.; 2020).

Unemployment and Inflation in Western Europe: Solution by the Boundary Integral Method

Using an analog of the boundary element method in engineering and science, we analyze and model unemployment rate in Austria, Italy, the Netherlands, Sweden, Switzerland, and the United States as a function of inflation and the change in labor force. Originally, the model linking unemployment to inflation and labor force was developed and successfully tested for Austria, Canada, France, Germany, Japan, and the United States. Autoregressive properties of neither of these variables are used to predict their evolution. In this sense, the model is a self-consistent and completely deterministic one without any stochastic component (external shocks) except that associated with measurement errors and changes in measurement units. Nevertheless, the model explains between ~65% and ~95% of the variability in unemployment and inflation. For Italy, the rate of unemployment is predicted at a time horizon of nine (!) years with pseudo out-of-sample root-mean-square forecasting error of 0.55% for the period between 1973 and 2006. One can expect that the unemployment will be growing since 2008 and will reach ~11.4% [±0.6 %] near 2012. After 2012, unemployment in Italy will start to descend.

Interval-Related Talks at the International Conference on Finite Element Methods in Engineering and Science

Interval-Related Talks at the International Conference on Finite Element Methods in Engineering and Science

Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells. Topics in Engineering, Vol 43

Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells. Topics in Engineering, Vol 43

Recent developments in the field-boundary element method for finite/small strain elastoplasticity

In this paper, some recent works of the authors, in the area of the field-boundary element method for finite/small strain elastoplasticity [Okada, Rajiyah and Atluri (1988a) J. Appl. Mech.55, 786–794; (1988b) Comput. Struct.30, 275–288; (1989) Comput. Mech.4, 165–175; (1990) Int. J. Numer. Meth. Engng29, 15–35], are summarized. Certain new integral representations for displacement (velocity) gradients, which are derived recently by the authors using the weighted residual method, are presented. Early formulations for boundary element methods for linear elasticity and small strain elastoplasticity [see Banerjee and Butterfield (1981) Boundary Element Methods in Engineering Science. McGraw-Hill; Banerjee and Cathie (1980) Int. J. Mech. Sci.22, 233–245; Banerjee and Raveendra (1986) Int. J. Numer. Meth. Engng23, 985–1002; (1987) J. Engng Mech.113, 252–265; Brebbia (1978) The Boundary Element Method in Engineering. Pentech Press; Chandra and Mukherjee (1983) J. Strain Anal.18, 261–270; Cruse (1969) Int. J. Solids Structures5, 1259–1274; Mukherjee and Chandra (1987) Boundary Element Methods in Mechanics, Elsevier Science Publishers; Mukherjee and Kumar (1978) ASME J. Appl. Mech.45, 785–790; Rizzo (1967) Q. Appl. Math.25, 83–95; Swedlow and Cruse (1971) Int. J. Solids Structures7, 1673–1683] are also shown along with these new integral equation representations. These new integral representations have lower order singularities, as compared to those that are obtained by a direct differentiation of the integral representations for displacement (velocity). They are quite attractive from a numerical analysis point of view, and enable the evaluation of the gradients at the boundary of the body, without any difficulties of hyper-singularities as in the conventional approach. In this new approach, the integrals, which have the highest order of the singularity, are evaluated in the sense of Cauchy principal value. Stresses and strains can be obtained directly at the boundary, using these new integral representations, whereas alternate methods or special regularization techniques are required when the conventional type integral equation for the gradients is used. These new integral equations can unify the methods of obtaining stresses as well as strains at the interior and at the boundary of the body. As shown in this article, this is very advantageous in applications to small and finite strain elastoplasticity. The third topic in this paper is a new field-boundary element method for the analysis of a class of problems of finite strain elastoplasticity, that involve bifurcation phenomena in the solution path, such as the buckling of a beam-column, diffused necking of a tensile bar, etc. The field-boundary element method is especially advantageous in the application to the large strain elastoplasticity, since the formulation can cope with the incompressibility of the material in the regime of fully developed plastic flow. This is not true in the case of the finite element displacement method. A full tangent stiffness method has been proposed by the authors to solve such classes of problems. This formulation accounts for all the non-linearities in the problem, and allows for the calculation of the displacement field directly. The problem of diffused necking of a tensile plate is solved for illustrative purposes. It is clearly seen that the full tangent stiffness field-boundary element method is capable not only of capturing the diffused necking bifurcation but also of analysing the post bifurcation diffused necking solution.

The Boundary Integral Equation Method for Porous Media Flow

Just as groundwater hydrologists are breathing sighs of relief after the exertions of learning the finite element method, a new technique has reared its nodes—the boundary integral equation method (BIEM) or the boundary equation method (BEM), as it is sometimes called. As Liggett and Liu put it in the preface to The Boundary Integral Equation Method for Porous Media Flow, “Lately, the Boundary Integral Equation Method (BIEM) has emerged as a contender in the computation Derby.” In fact, in July 1984, the 6th International Conference on Boundary Element Methods in Engineering will be held aboard the Queen Elizabeth II, en route from Southampton to New York. These conferences are sponsored by the Department of Civil Engineering at Southampton College (UK), whose members are proponents of BIEM. The conferences have featured papers on applications of BIEM to all aspects of engineering, including flow through porous media. Published proceedings are available, as are textbooks on application of BIEM to engineering problems. There is even a 10‐minute film on the subject.

The Finite Element Method in Engineering

The Finite Element Method in Engineering

Finite Element Methods in Engineering

Finite Element Methods in Engineering