Title:
Gardner and Lockman Model in Creep Analysis of Composite Steel-Concrete Sections
Author(s):
Doncho Partov and Vesselin Kantchev
Publication:
Structural Journal
Volume:
111
Issue:
1
Appears on pages(s):
59-70
Keywords:
Gardner and Lockman model; integral equation; rheology; steel-concrete section.
DOI:
10.14359/51686430
Date:
1/1/2014
Abstract:
The paper presents an analysis of the stress and deflections changes due to creep in statically determinate composite steel-concrete beams. The mathematical model involves the equation of equilibrium, compatibility, and constitutive relationship, that is, an elastic law for the steel part and an integral-type creep law of Boltzmann-Volterra for the concrete part. Based on the theory of the viscoelastic body of Arutyunian-Trost-Bažant for determining the redistribution of stresses in beam sections between a concrete plate and steel beam with respect to time t, two independent Volterra integral equations of the second kind have been derived. A numerical method based on linear approximation of the singular kernal function in the integral equation is presented. An example with the proposed model is investigated. The creep functions are suggested by the Gardner and Lockman model. The elastic modulus of concrete Ec(t) is assumed to be constant in time t.