The Mathematics of Finite Elements and Applications: Proceedings of the Brunel University Conference of the Institute of Mathematics and Its Applications Held in April 1972 |
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Page 5
... displacement must be zero . Prescribing the displacement vector u by a set of n parameters a in the continuum domain as u = Na = Na , ( 5 ) we immediately define the strains ( by the use of appropriate expressions giving these in terms ...
... displacement must be zero . Prescribing the displacement vector u by a set of n parameters a in the continuum domain as u = Na = Na , ( 5 ) we immediately define the strains ( by the use of appropriate expressions giving these in terms ...
Page 329
... displacement may be expressed in terms of its values at the nodes on that interface ( in order to ensure continuity of displacement over the interface . ) Since for a linear elastic material the stress is a linear function of the ...
... displacement may be expressed in terms of its values at the nodes on that interface ( in order to ensure continuity of displacement over the interface . ) Since for a linear elastic material the stress is a linear function of the ...
Page 369
... displacement function developed by Fraeijs de Veubeke [ 4 ] for flat plates , for the normal displace- ment w . The quadrilateral is first divided into four sub - triangles by its dia- gonals as shown in Fig . 1. Within each sub ...
... displacement function developed by Fraeijs de Veubeke [ 4 ] for flat plates , for the normal displace- ment w . The quadrilateral is first divided into four sub - triangles by its dia- gonals as shown in Fig . 1. Within each sub ...
Contents
FINITE ELEMENTSTHE BACKGROUND STORY By O C Zienkiewicz | 37 |
SOME RECENT ADVANCES IN THE MATHEMAtics of Finite ElemENTS | 59 |
ERROR ANALYSIS OF FINITE ELEMENT METHODS WITH TRIANGLES | 83 |
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accuracy analysis applications approach approximation assumed body boundary conditions bounds calculated co-ordinates coefficients complete components consider constant continuous convergence corresponding crack creep curved defined denote depends derivatives determined developed differential equations direct displacement distribution edge elastic elimination energy Engineering equations error exact example expressed factor finite element method flow forces functions given gives integration interpolation introduce involved iterative linear load material means mesh nodal nodes normal obtained operator parameters plane plate polynomials positive possible potential present problem procedure properties reduced REFERENCES region represent respectively satisfy shell shown side simple solution solved space square step stiffness matrix strain stress structure surface symmetric Table techniques temperature theory triangle triangular University values variational vector zero