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Actual Problems in Machine Building. 2015. N 2
Materials Science
in Machine Building
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426
FINITE ELEMENT ANALYSIS OF PARTS MADE OF COMPOSITE MATERIALS
Smirnov V. V.
, Ph.D. (Engineering), Associate Professor, e-mail:
vvatvs@rambler.ruBiysk Technological Institute, Branch of Polzunov Altai State Technical University, 27 Trafimova st.,
Biysk, Altai region, 659305, Russian Federation
Abstract
The article describes an algorithm of the finite element analysis of parts made of composite
materials. The property of finite element disjunction provides a possibility of constructing
appropriate design algorithms. The first step is the approximation of the unknown function for each
finite element. Then an array of extended data representing the geometric shape and material of the
computational domain is generated. After that an appropriate software procedure performs the
binding of finite elements. Further an original problem of continuum mechanics in the variational
formulation is solved. The function continuity over the entire domain is provided by the equality of
interpolating functions at the boundary between the elements. The functional for each finite element
is calculated, a total functional is found and its minimization is performed based on the list of
unknown nodal temperature values. The total function minimization results in a system of linear
algebraic equations whose solution leads to the determination of unknown values of the target
function in the nodes. The proposed approach is implemented by the Maple computational
mathematics system.
Keywords
numerical modeling, finite element analysis, composite materials