Yang, Wei H., Srolovitz, David J.
We present a nonlinear analysis of the temporal evolution of the surface morphology of a stressed solid based on a general parametric description of the surface shape. We find that surfaces of...
Large deformation of structures by sequential limit analysis (1993)
Although most structures are designed to function under small deformation, their large deformation behavior can be used to estimate reliability and safety for survivorship from an accident or a...
Analysis of orthogonal metal cutting processes (1992)
The orthogonal metal cutting process for a controlled contact tool is simulated using a limit analysis theorem. The basic principles are stated in the form of a primal optimization problem with an...
Yang, Wei H., Ben-Tal, Aharon, Teboulle, Marc
This paper introduces a globally convergent algorithm for solving a class of nonsmooth optimization problems, involving square roots of quadratic forms. The class includes in particular limit...
A general algorithm for limit solutions of plane stress problems (1991)
A computational approach to limit solutions is considered most challenging for two major reasons. A limit solution is likely to be non-smooth such that certain non-differentiable functions are...
A duality theorem for plastic torsion (1991)
Limit analysis of prismatic torsion bars was the earliest attempt to apply plasticity theory to a continuum. The simplicity of the problem made it feasible to use the two-dimensional Prandtl stress...
A duality theorem for plastic plates (1987)
Limit analysis studies the asymptotic behavior of elastic-plastic materials and structures. The asymptotic material properties exist for a class of ductile metals and are designed into optimal...
A method for eigenvalues of sparse Λ-matrices (1983)
The matrix N (Λ) whose elements are functions of a parameter Λ is called the Λ-matrix. Those values of Λ that make the matrix singular are of great interest in many applied fields. An efficient...
A variational principle and an algorithm for limit analysis of beams and plates (1982)
A variational principle for limit analysis of beams and plates is developed from a yield function based on the Frobenius matrix norm. The formulation produced a pair of maximization and minimization...
Minimization approach to limit solutions of plates (1981)
Limit analysis which predicts the ultimate load carrying capacity of a structure or machinery provides very useful information especially for designs that must survive accidents and abnormal...
Methods for optimal engineering design problems based on globally convergent methods (1981)
Watson, Layne Terry, Yang, Wei H.
An optimal design problem is formulated as a system of nonlinear equations rather than the extremum of a functional. Based on the Chow-Yorke algorithm, another globally convergent homotopy method,...
The propagation of plane harmonic waves in an elastic medium in which there is a periodic distribution of infinitely long, cylindrical pores is analyzed. The waves propagate perpendicular to the...
The work involves the propagation of plane harmonic waves in an infinite isotropic medium in which a doubly periodic array of cylindrical fibers is embedded. The direction of propagation is...
A practical method for limit torsion problems (1979)
The sand hill analogy should have closed the chapter of the limit plastic torsion problem except that there exists no convenient method to evaluate the volume of a general sand hill which gives the...
Benedict, Robert, Wineman, Alan S., Yang, Wei H.
A nonlinear elastic tubular membrane bonded at its ends to rigid plates is subjected to internal pressure and elongation. For a fixed elongation, pressure initially increases with radius, reaches a...
Elastoplastic torsion by quadratic programming (1978)
O'Leary, Dianne P., Yang, Wei H.
A finite element scheme (together with a conjugate gradient algorithm) is demonstrated to be a very effective method for analyzing general elastoplastic torsion of prismatic bars posed as quadratic...
Non-linear elastic thermal stress analysis with phase changes (1978)
The non-linear elastic, thermal stress analysis with temperature induced phase changes in the materials is presented. An infinite plate (or body) with a circular hole (or tunnel) is subjected to a...
On a class of optimization problems for framed structures (1978)
A unified treatment is presented for four types of problems on limit analysis of framed structures and related design problems. With the use of the lower bound theorem in plasticity these problems...
A method for updating Cholesky factorization of a band matrix (1977)
A method is presented for updating the Cholesky factorization of a band symmetric matrix modified by a rank-one matrix which has the same band width. Problems which could involve applications of such...
Stress and deformation analysis of the metal extrusion process (1977)
Lee, E. H., Mallett, R. L., Yang, Wei H.
A complete stress analysis of a metal-forming process is necessary in order to assess the onset of metal-forming defects such as the initiation of internal or surface cracks or the generation of...
Waves in periodically structured media (1975)
Golub, G. H., Jenning, L., Yang, Wei H.
By the finite element method, the problem of steady-state wave motion in a 2-dimensional periodic medium is formulated in the form of a matrix eigenvalue problem. A matrix modification converts the...
Dynamic analysis of structural deformation and metal forming (1975)
Lee, E. H., Mallett, R. L., Ting, T. C. T., Yang, Wei H.
In the dynamic analysis of the deformation of bodies and structures it is often found that the duration of significant loads and high stresses is such that stress waves traverse the body and reflect...