Selected computational aspects of the meshless finite difference method

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

Meshless Finite Difference Method – State of the Art

MFDM [1, 3, 5, 16, 17] is the oldest and one of the most effective Meshless Methods [4, 6, 7]. Its current outlines, including the basic MFDM procedure, its various extensions and selected applications, demonstrating power, generality and versatility of the method competitive to main contemporary solution methods are briefly considered here. The MFDM may be applied in all formulations (strong, ...

The meshless finite element method

A meshless method is presented which has the advantages of the good meshless methods concerning the ease of introduction of node connectivity in a bounded time of order n, and the condition that the shape functions depend only on the node positions. Furthermore, the method proposed also shares several of the advantages of the Finite Element Method such as: (a) the simplicity of the shape functi...

Computational Aspects of the Stochastic Finite Element Method

We present an overview of the stochastic finite element method with an emphasis on the computational tasks involved in its implementation.

Higher Order Approximation , provided by correction terms , in the Meshless Finite Difference Method - applications in mechanics