Ingeniare. Revista chilena de ingeniería
versão On-line ISSN 0718-3305
PEREZ P, Luis; PERAZZO M, Franco e SPA C, Carlos. Meshless numerical simulation of the non-linear behavior of a material using the finite point method. Ingeniare. Rev. chil. ing. [online]. 2011, vol.19, n.3, pp. 336-350. ISSN 0718-3305. http://dx.doi.org/10.4067/S0718-33052011000300004.
The use of fully meshless formulation of the finite point method allows taking advantage the benefit of this type of numerical technique for applications in the fields of fluid mechanics, solid mechanics, material science and later in adaptivity and electromagnetism. In this work a meshless numerical method to approximate the non-linear behavior of a material using the finite point method, based on the theory of Hencky total strain and elastic approach to approximate the distribution of stresses and deformation, is developed. This approach introduces the concept of effective properties of the material which are obtained using a correction procedure applied to the stress-strain curve. The examples show the good behavior of the methodology that is used, being one of the main advantages the simplicity and the ease of implementation, since it is not necessary a partition or subdivision of the solution domain.
Palavras-chave : Meshless methods; finite point method; point collocation; non-linear analysis; inelastic analysis.