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Heterogeneous element: A new finite...

Tao, Chen.

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Heterogeneous element: A new finite element method for the micro-stress analysis of composites.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Heterogeneous element: A new finite element method for the micro-stress analysis of composites./
Author:	Tao, Chen.
Description:	171 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2360.
Contained By:	Dissertation Abstracts International64-05B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3090386
ISBN:	0496381091

Heterogeneous element: A new finite element method for the micro-stress analysis of composites.
Tao, Chen.

Heterogeneous element: A new finite element method for the micro-stress analysis of composites. - 171 p.

Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2360.

Thesis (Ph.D.)--Kansas State University, 2003.

The heterogeneous finite element method, a new numerical tool, has been developed for the micro-stress analysis of composites.

ISBN: 0496381091Subjects--Topical Terms:

783786
Engineering, Mechanical.

Heterogeneous element: A new finite element method for the micro-stress analysis of composites.
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100 1 $a Tao, Chen. $3 1924997
245 1 0 $a Heterogeneous element: A new finite element method for the micro-stress analysis of composites.
300 $a 171 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2360.
500 $a Major Professor: Youqi Wang.
502 $a Thesis (Ph.D.)--Kansas State University, 2003.
520 $a The heterogeneous finite element method, a new numerical tool, has been developed for the micro-stress analysis of composites.
520 $a There are several advantages gained using this heterogeneous element method. First and foremost, the formulation of the heterogeneous element enforces the stress equilibrium conditions at the interface between fiber (yarn) and matrix, and at the same time it allows for tangential stress jump between materials caused by the huge difference in material properties. Displacement continuity is preserved throughout the material. Because the formulation reflects the actual physical situation at the interface, calculated micro-stress becomes rapidly convergent to an accurate result as the element mesh becomes finer. Second, a heterogeneous element can contain one or two kinds of materials with different moduli and other mechanical properties. Therefore, it is not necessary to match element nodes and boundaries to material interfaces. This turns mesh generation into a simple process.
520 $a The heterogeneous element model is constructed in two ways, displacement-based element and mixed element. For the displacement-based element, besides nodal displacements, new variables representing interfacial nodal displacement derivatives along element side directions are introduced in the displacement functions to allow for the satisfaction of interfacial stress equilibrium. A weak form of interfacial equilibrium conditions is used to avoid violation of displacement continuity between heterogeneous elements. Half the displacement derivative variables are global, and the order of element is increased with less increase in global degree of freedom compared to conventional higher order elements. For the mixed element, besides displacement variables, stress variables local to each material are used to allow for discontinuity of interfacial tangential stress and in the meantime to reflect interfacial stress equilibrium. Local stress variables are condensed out before global assembly, thus global degree of freedom is not increased, yet equilibrium conditions across the interface and continuity of displacements everywhere are satisfied.
520 $a All heterogeneous elements satisfy the requirements of completeness and compatibility and pass the patch test for convergence. They are used in the analysis of various composites. The results are compared with those from other numerical methods to validate the effectiveness of the heterogeneous element method.
590 $a School code: 0100.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mechanics. $3 1018410
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790 1 0 $a Wang, Youqi, $e advisor
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791 $a Ph.D.
792 $a 2003
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