Stress resultants plasticity with general closest point projection

In this paper, general closest point projection algorithm is derived for the elastoplastic behavior of a cross-section of a beam finite element. For given section deformations, the section forces (stress resultants) and the section tangent stiffness matrix are obtained as the response for the cross-section. Backward Euler time integration rule is used for the solution of the nonlinear evolution equations. The solution yields the general closest projection algorithm for stress resultants plasticity model. Algorithmic consistent tangent stiffness matrix for the section is derived. Numerical verification of the algorithms in a mixed formulation beam finite element proves the accuracy and robustness of the approach in simulating nonlinear behavior.


Stress distributions in energy generating two-layer tubes subjected to free and radially constrained boundary conditions
Eraslan, Ahmet Nedim; Argeso, H (Elsevier BV, 2003-03-01)
Analytical solutions are obtained for thermally induced axisymmetric elastic and elastic-plastic deformations in heat generating composite tubes having a free inner and a radially constrained outer boundaries. Tresca's yield condition and its associated flow rule are used to determine the elastic-plastic response of the assembly. Depending on the physical properties of the materials used, eight different plastic regions with different mathematical forms of the yield condition may occur in the assembly. The ...
Contact mechanics problem between an orthotropic graded coating and a rigid punch of an arbitrary profile
ARSLAN, ONUR; Dağ, Serkan (Elsevier BV, 2018-01-01)
Singular integral equation (SIE) and finite element methods are developed for sliding contact analysis of a finite thickness orthotropic graded coating, which is perfectly bonded to an isotropic substrate. Orthotropic stiffness coefficients of the coating vary exponentially through the coating thickness. The coating is assumed to be loaded by a frictional rigid punch of an arbitrary profile. In the SIE formulation, governing partial differential equations are derived in accordance with the theory of plane e...
ELMEZAINI, N; BALKAYA, C; CITIPITIOGLU, E (American Society of Civil Engineers (ASCE), 1991-06-01)
The linear elastic behavior of frames with nonprismatic members is investigated by using isoparametric plane stress finite elements. It is determined that the conventional methods of analysis for these types of structures lead to erroneous results. Comparison of the fixed end moments, stiffness, and carry-over factors of nonprismatic members available in the literature with those computed by finite element analysis reveals large discrepancies. Based on an extensive study, sources and magnitudes of errors...
Multi-scale characterization of particle clustering in discontinuously reinforced composites
CETIN, Arda; Kalkanlı, Ali (Elsevier BV, 2009-06-01)
The applicability of a quantitative characterization scheme for cluster detection in particle reinforced composites is discussed. The method considers the pattern from the perspective of individual particles, so that even in a pattern that globally conforms to a random distribution, micro-scale heterogeneities can be detected. The detected clusters are visualized by kernel surfaces. Results indicate that the presented methodology is an effective discriminator of clusters and can successfully be used for qua...
An accurate nonlinear 3d Timoshenko beam element based on Hu-Washizu functional
Soydas, Ozan; Sarıtaş, Afşin (Elsevier BV, 2013-09-01)
An accurate 3d mixed beam element that is efficient especially in nonlinear analysis is presented in this paper. The mathematical theory is based on Hu-Washizu principle that uses three-fields in the variational form. The composition of the variational form ensures independent selection of displacement, stress and strain fields. Timoshenko beam theory is extended to three dimensions for deriving strains from displacement field. Numerical integration of stress strain relations along control sections is carri...
Citation Formats
A. Sarıtaş, “Stress resultants plasticity with general closest point projection,” MECHANICS RESEARCH COMMUNICATIONS, pp. 126–130, 2011, Accessed: 00, 2020. [Online]. Available: