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Functions for patch test in finite element analysis of the Mindlin plate and the thin cylindrical shell

Science china(Physics,Mechanics & Astronomy) 2009年第5期52卷 762-767页

作者： chen wanji 1,2 ,wang jinzhi 1,3 &zhao jie 1 1state key laboratory for structural analysis of industrial equipment,dalian university of technology,dalian 11602.,china 2Institute for structural analysis of Aerocraft,Shenyang Institute of Aeronautical Engineering,Shenyang 110136,china 3 College of Science,Institute of dalian Nationalities,dalian 11602.,china state key laboratory for structural analysis of industrial equipment Dalian University of Technology Dalian China Institute for structural analysis of Aerocraft Shenyang Institute of Aeronautical Engineering Shenyang China College of Science Institute of Dalian Nationalities Dalian China

Current patch test for Mindlin plate element only satisfies the zero shear deformation *** patch test of non-zero constant shear for Mindlin plate problem cannot be *** shell element, the patch test does not even *** on the theory of enhanced patch test proposed by chen W J (2006),the authors proposed the enhanced patch test function for Mindlin plate and thin cylindrical shell *** enhanced patch test function can be used to assess the convergence of the Mindlin plate and cylindrical thin shell elements.

关键词： Mindlin plate thin cylindrical shell finite element enhanced patch test test function

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Patch test function for axisymmetric element of conventional and couple stress theory

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Science china(Physics,Mechanics & Astronomy) 2009年第8期52卷 1257-1261页

作者： chen wanji zhao jie wang jinzhi JI Bian Institute for structural analysis of Aerocraft Shenyang Institute of Aeronautical EngineeringShenyang 110136China state key laboratory for structural analysis of industrial equipment Dalian University of TechnologyDalian 116023China College of Science Institute of Dalian NationalitiesDalian 116022China

The enhanced patch test proposed by chen W J(2006) can be used to assess the convergence of the problem with non-homogeneous differential *** on this theory,we establish the patch test function for axisymmetric elements of conventional and couple stress theories,and reach an important conclusion that the patch test function for axisymmetric elements cannot contain non-zero constant shear.

关键词： axisymmetric element non-homogeneous differential equations couple stress theory test function of patch test

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Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity

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Acta Mechanica Sinica 2009年第3期25卷 381-387页

作者： Bin Ji wanji chen jie zhao state key laboratory for structural analysis of industrial equipment Dalian University of Technology 116023 Dalian China Department of Aeronautics and Space Navigation Shenyang Institute of Aeronautical Engineering Daoyi South Street 37 110136 Shenyang Liaoning China

Owing to the absence of proper analytical solution of cantilever beams for couple stress/strain gradient elasto-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the determination of material length-scale. Based on the couple stress elasto-plasticity, an analytical solution of thin cantilever beams is firstly presented, and the solution can be regarded as an extension of the elastic and rigid-plastic solutions of pure bending beam. A comparison with numerical results shows that the current analytical solution is reliable for the case of σ0 〈〈 H 〈〈 E, where σ0 is the initial yield strength, H is the hardening modulus and E is the elastic modulus. Fortunately, the above mentioned condition can be satisfied for many metal materials, and thus the solution can be used to determine the material length-scale of micro-structures in conjunction with the experiment of cantilever beams in the micro-scale.

关键词： Material length-scale Couple stress elasto-plasticity Analytical solution Cantilever beam

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