Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
نویسندگان
چکیده
منابع مشابه
Non Uniform Rational B Spline (NURBS) Based Non-Linear Analysis of Straight Beams with Mixed Formulations
Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...
متن کاملAccuracy Analysis for Finite-volume Discretization Schemes on Irregular Grids
A new computational analysis tool, downscaling test, is introduced and applied for studying the convergence rates of truncation and discretization errors of finite-volume discretization schemes on general irregular (e.g., unstructured) grids. The study shows that the design-order convergence of discretization errors can be achieved even when truncation errors exhibit a lower-order convergence o...
متن کاملAccurate discretization of gradients on non-uniform curvilinear staggered grids
It is shown how to discretize the pressure gradient in the Navier{ Stokes equations on an arbitrary non-uniform curvilinear staggered grid, such that the error is zero for constant pressure gradient. A theoretical foundation is given for a discretization proposed in 2] on empirical grounds. A quite similar approach is used to discretize a diffusion equation with strongly discontinuous diiusion ...
متن کاملUniform Nonautonomous Attractors under Discretization
A nonautonomous or cocycle dynamical system that is driven by an autonomous dynamical system acting on a compact metric space is assumed to have a uniform pullback attractor. It is shown that discretization by a one-step numerical scheme gives rise to a discrete time cocycle dynamical system with a uniform pullback attractor, the component subsets of which converge upper semi continuously to th...
متن کاملAn Implicit Euler Scheme with Non-uniform Time Discretization for Heat Equations with Multiplicative Noise
We present an algorithm for solving stochastic heat equations, whose key ingredient is a non-uniform time discretization of the driving Brownian motion W . For this algorithm we derive an error bound in terms of its number of evaluations of onedimensional components of W . The rate of convergence depends on the spatial dimension of the heat equation and on the decay of the eigenfunctions of the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Engineering Fracture Mechanics
سال: 2018
ISSN: 0013-7944
DOI: 10.1016/j.engfracmech.2018.02.006