Vol. 1, No. 2 · Manuscript (English)
Calculation of thermally induced stresses in mass concrete considering creep with aging — Part I: formulation and analytical–numerical validation
Flávio Mamede Pereira Gomes; Flávio Vasconcelos Souza
This paper presents Part I — analytical–numerical — of the validation of a viscoelastic constitutive model: the incremental formulation of creep deformation with aging for the calculation of thermally induced stresses in mass-concrete structures. The starting point is the creep compliance obtained directly from tests (or from a rheological model fitted to it). Unlike the classical viscoelastic formulation of Zocher, Groves and Allen (1997), based on the relaxation moduli and without explicit aging, the present derivation operates on the creep compliance with aging, written as a Dirichlet–Prony series with coefficients that depend on the loading age. The strategy leads to a recursive algorithm in which the creep-strain increment at each time step separates into a known hereditary part and a part proportional to the current stress increment. The aging viscoelastic problem thus reduces, at each step, to an equivalent elastic problem suitable for finite-element implementation. The formulation is validated on analytical–numerical problems (in the manner of Zhu Bofang (2014) and Zocher et al. (1997), plane problems and a restrained slab). The numerical–experimental validation on site (VET / Santo Antônio HPP) is the subject of Part II.
Keywords: mass concrete, creep with aging, thermal stresses, viscoelasticity, finite elements, analytical–numerical validation
How to cite
English manuscript — not published. Please cite the Portuguese article: GOMES, Flávio Mamede Pereira; SOUZA, Flávio Vasconcelos. Cálculo de tensões de origem térmica no concreto massa considerando fluência com envelhecimento — Parte I: formulação e validação analítico-numérica. Revista do Instituto Roy Carlson, v. 1, n. 2, 2026. https://institutoroycarlson.org/revista/edicoes/v1n2/artigos/calculo-tensoes-origem-termica-fm.html.