Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Theodore H. H. Pian"'
Publikováno v:
Finite Elements in Analysis and Design. 38:353-374
Solid-shell elements are often equipped with two layers of nodes. Thus, the thickness (normal) strain along the thickness direction is essentially constant. When these elements are subjected to pure bending, the shrinkage/expansion induced by the in-
Publikováno v:
International Journal for Numerical Methods in Engineering. 55:853-878
This paper presents eight-node solid-shell elements for geometric non-linear analysis of elastic shells. To subdue shear, trapezoidal and thickness locking, the assumed natural strain method and an ad hoc modified generalized laminate stiffness matri
Autor:
Theodore H. H. Pian, Kam Yim Sze
Publikováno v:
Advances in Structural Engineering. 4:13-18
This paper is a survey of the use of assumed stress hybrid finite element methods for analyzing plate and shell structures. It describes the construction of Kirchhoff plate element by complementary energy principle, and of Reissner-Mindlin plate elem
Publikováno v:
Communications in Numerical Methods in Engineering. 16:293-299
Based on Hellinger–Reissner functional and with the inclusion both of displacements and stresses, a hybrid stress formulation of dynamic finite element method is derived in this paper. In this formulation, the displacements are separated into zerot
Autor:
Theodore H. H. Pian
Publikováno v:
International Journal for Numerical Methods in Engineering. 47:419-425
The first remark of this paper is to disclose a historical fact that the assumed stress hybrid finite element method pioneered by Pian [1] in 1964 was actually developed originally based on the Hellinger–Reissner principle and not on the complement
Publikováno v:
International Journal for Numerical Methods in Engineering. 40:1399-1411
The stresses around rectangular holes of rounded corners and rounded notches are analysed by using the combination of three kinds of three-dimensional special hybrid stress finite elements. One kind of three-dimensional hybrid stress finite element w
Publikováno v:
International Journal for Numerical Methods in Engineering. 40:15-27
Autor:
Theodore H. H. Pian
Publikováno v:
Finite Elements in Analysis and Design. 21:5-20
A brief review of multifield variational principles for the formulation of finite element methods in solid mechanics and an account of the evolution of hybrid/mixed finite element methods are presented first. Discussions of recent applications of the
Publikováno v:
Applied Mathematics and Mechanics. 15:507-516
An approach of the incompatible elements with additional internal shear strain is, in the present paper, suggested and applied to geometrically nonlinear analysis of Mindlin plate bending problem. It provides a quite covenient way to avoid the shear
Publikováno v:
Computational Mechanics. 14:189-199
The inverse relations of the isoparametric mapping for the 8-node hexahedra are derived by using the theory of geodesics in differential geometry. Such inverse relations assume the form of infinite power series in the element geodesic coordinates, wh