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Showing papers on "Tangent stiffness matrix published in 1983"


Journal ArticleDOI
H. Ghoneim1, Yu Chen1
TL;DR: In this paper, a viscoelastic-viscoplastic constitutive model for isotropic materials undergoing isothermal infinitesimal deformation is proposed, where the model is based on the assumption that the total strain rate is decomposable into a viscocelastic and a viscoplastic portion.

20 citations


Journal ArticleDOI
TL;DR: In this article, the stiffness matrix, consistent geometric stiffness matrix and consistent mass matrix for a beam element, including shear effect by coupling transverse and shear angular displacement field is presented.
Abstract: Formulation of stiffness matrix, consistent geometric stiffness matrix and consistent mass matrix for a beam element, including shear effect by coupling transverse and shear angular displacement field is presented.

9 citations


Journal ArticleDOI
01 Dec 1983
TL;DR: In this paper, a two-stage procedure is proposed to enable non-linear analysis to provide information under more realistic conditions, and the results of tests and analysis of two 45 degree skew slabs with different steel arrangements are compared.
Abstract: Validation of the predictions of non-linear analysis of reinforced concrete slabs has tended to concentrate on monotonic loading to failure. Although this is useful, it is limited in value as most bridge slabs are subjected to many load patterns, and cracking develops as a result of repetitive and long term loading. To enable non-linear analysis to provide information under more realistic conditions, a two-stage procedure is proposed. For the first stage, the strains in the existing slab are determined using simplified loading and material property models. In the second stage, to calculate the effects of an overload, or a structural modification, an approximate tangent stiffness matrix of the cracked slab is determined. This is then used with short term stress-strain curves, and the live loading, to determine the additional stresses. Results of tests and analysis of two 45 degree skew slabs with different steel arrangements are compared. Although the slab responses to loading were quite different, the method gave reasonable predictions of behaviour. (Author/TRRL)

5 citations



01 Dec 1983
TL;DR: In this paper, a general procedure for the setting up of the element tangent stiffness matrix and element gradient through the discrete sampling of the nonquadratic total potential energy is presented, and the computations are done for the plate, the bent rod, the cable, the rubber membrane and the thin shell of revolution.
Abstract: : A general procedure is presented for the setting up of the element tangent stiffness matrix and element gradient through the discrete sampling of the nonquadratic total potential energy. Computations are done for the plate, the bent rod, the cable, the rubber membrane, and the thin shell of revolution. (Author)

Book ChapterDOI
12 Sep 1983
TL;DR: The non linear behaviour of elastic cables acted upon by dead load and tensile forces is analyzed and the stay’s stiffening obtained by a counterstays system is studied and used to reduce the overall defor-mability of such bridges.
Abstract: In this paper we analyze the non linear behaviour of elastic cables acted upon by dead load and tensile forces. Such cables are often employed in long-span cable-stayed bridges. We also study the stay‘s stiffening obtained by a counterstays system and used to reduce the overall defor-mability of such bridges. The analysis is made by using two non linear finite element models here proposed and suitable to grasp the geometric nonlinearity of these structures.