scholarly journals Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem

2019 ◽  
pp. 621-629 ◽  
Author(s):  
Alexander Vyatkin ◽  
Elena Kuchunova
Keyword(s):  
Numerical Algorithm ◽  
Three Dimensional ◽  
Integration Domain

Study of Frictional Impact Using a Nonsmooth Equations Solver

1999 ◽  
Vol 67 (2) ◽  
pp. 267-273 ◽  
Author(s):  
L. Johansson ◽  
A. Klarbring
Keyword(s):  
Numerical Algorithm ◽  
Newton's Method ◽  
Equations Of Motion ◽  
Mathematical Formulation ◽  
Three Dimensional ◽  
Rigid Bodies ◽  
Direct Approach ◽  
Nonsmooth Equations ◽  
Usual Sense ◽  
Coulomb's Law

In this paper a mathematical formulation and a numerical algorithm for the analysis of impact of rigid bodies against rigid obstacles are developed. The paper concentrates on three-dimensional motion using a direct approach where the impenetrability condition and Coulomb’s law of friction are formulated as equations, which are not differentiable in the usual sense, and solved together with the equations of motion and necessary kinematical relations using Newton’s method. An experiment has also been performed and compared with predictions of the algorithm, with favorable results. [S0021-8936(00)01402-1]

Advanced Kinematic Scheme of Structural Calculation of Thin Multilayer Laminate With Essentially Diverse Layer’s Stiffness

2011 ◽  
Author(s):  
V. G. Gaynutdinov
Keyword(s):  
Mechanical Properties ◽  
Numerical Calculation ◽  
Numerical Algorithm ◽  
Composite Structure ◽  
Three Dimensional ◽  
Multilayer Structures ◽  
Main Task ◽  
Kinematic Scheme ◽  
Dimensional Approach ◽  
Structural Calculation

Composite structure consists of a system of layers bonded together. The layers can have different mechanical properties and thicknesses. The main task is to predict the behavior of a laminate as a system of layers with given properties. We suggest advanced kinematic scheme for structural calculation and heuristic numerical algorithm of prediction behavior of a multilayer structures with essentially diverse layer’s stiffness. Kinematic scheme can be compared in adequacy with three-dimensional approach of structural calculation of thin multilayer laminate, but is more economical in view of required resource for numerical calculation.

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