A Daubechies wavelet-based method for elastic problems

AbstactIn this paper, Daubechies (DB) wavelet is used for solution of 2-D plain elastic problems. Because the DB wavelet scaling functions are directly used in function approximation, neither nodes nor meshes are needed in this method. Using the ideas of some meshless methods, the solution formulations for two-dimensional elastic problems are established. In order to treat general boundaries and improve the efficiency and accuracy in solution, a method for evaluation of integrals is proposed. Numerical examples of 2-D elastic problems illustrate that this method is effective and stable and it is promising to solve more complicated problems in solid mechanics.