On torsion of random composite beams

被引:56
作者
Barretta, Raffaele [1 ]
Luciano, Raimondo [2 ]
Willis, John R. [3 ]
机构
[1] Univ Naples Federico II, Dept Struct Engn & Architecture, I-80125 Naples, Italy
[2] Univ Cassino & Southern Lazio, Dept Civil & Mech Engn, I-03043 Cassino, FR, Italy
[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Ctr Math Sci, Cambridge CB3 OWA, England
关键词
Elasticity; Random beams; Micro-mechanics; Finite element analysis; NONLOCAL EFFECTIVE RELATIONS; DEPENDENT BODY FORCE; SAINT-VENANT BEAM; STRAIN FIELDS; FE ANALYSIS; BEHAVIOR; STRESS; BODIES;
D O I
10.1016/j.compstruct.2015.06.069
中图分类号
O3 [力学];
学科分类号
070301 [无机化学];
摘要
Elastic equilibrium of two-phase random composite beams under torsion, with simply and multiply connected cross-sections, is investigated. The analysis is carried out in order to assess the boundary layer effect exhibited by the shear stress field, expressed in terms of the torsional warping function, near the cross-section boundary. The boundary value problem governing the warping function is formulated in variational terms and solved by a FEM analysis. Standard methods of micromechanics are adopted in order to evaluate the eigenstress fields describing cross-sectional elastic inhomogeneities. The shear stress distribution in a beam with equilateral triangular cross-section is numerically evaluated for different microstructures characterizing the elastic phases of the composite material. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:915 / 922
页数:8
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