Composite finite elements of class Ck

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....

Composite Finite Elements and Multigrid Lecture

These lecture notes comprise the talks on composite finite elements and multigrid methods given at the Zürich Summerschool 02. The theory of composite finite elements and various applications have been developed since the end of the ninetieth and reviewed in this paper. Basic knowledge in the theory of finite elements and multigrid methods is required.

Composite Finite Elements for Trabecular Bone Microstructures

Numerical Homogenization of Trabecular Bone Specimens using Composite Finite Elements

The approach on the left does not work for merely statistically periodic microstructures because periodic boundary conditions cannot be prescribed. Instead, macroscopic strains (ū) are imposed on the boundary ∂Ω of the bounding box and the stress response σ̄ is computed on a proper interior subset Ω#β := {x ∈ Ω | dist(x, ∂Ω) > β} shown in red on the far left. This avoids boundary artifacts (stif...

Composite Finite Elements for 3D Image Based Computing

We present an algorithmical concept for modeling and simulation with partial differential equations (PDEs) in image based computing where the computational geometry is defined through previously segmented image data. Such problems occur in applications from biology and medicine where the underlying image data has been acquired through e. g. computed tomography (CT), magnetic resonance imaging (...