This paper proposes a constitutive equation for masonry-like materials with bounded compressive strength. The general properties of this equation are proved and its solution is explicitly calculated. Subsequently, a numerical method is proposed in order to solve the equilibrium problem of masonry-like solids with bounded compressive strength. In particular the derivative of the stress with respect to the total strain is calculated; this derivative will be used for calculating the tangent stiffness matrix and then for solving the non-linear system, obtained with the discretisation into finite elements via the Newton-Raphson method. Finally, this numerical method is applied to the study of Mosca's bridge in Turin and to the study of a three-dimensional circular reduced arch subjected to its own weight and a vertical load distributed along the extrados.
Masonry-like solids with bounded compressive strength / M. LUCCHESI; C. PADOVANI; N. ZANI. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - STAMPA. - 33:(1996), pp. 1961-1994. [10.1007/978-3-540-79111-9_2]
Masonry-like solids with bounded compressive strength
LUCCHESI, MASSIMILIANO;ZANI, NICOLA
1996
Abstract
This paper proposes a constitutive equation for masonry-like materials with bounded compressive strength. The general properties of this equation are proved and its solution is explicitly calculated. Subsequently, a numerical method is proposed in order to solve the equilibrium problem of masonry-like solids with bounded compressive strength. In particular the derivative of the stress with respect to the total strain is calculated; this derivative will be used for calculating the tangent stiffness matrix and then for solving the non-linear system, obtained with the discretisation into finite elements via the Newton-Raphson method. Finally, this numerical method is applied to the study of Mosca's bridge in Turin and to the study of a three-dimensional circular reduced arch subjected to its own weight and a vertical load distributed along the extrados.File | Dimensione | Formato | |
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