Title
Compact and unified elasto-plastic formulation to study isotropic plates
Date Issued
01 January 2020
Access level
metadata only access
Resource Type
journal article
Publisher(s)
Elsevier Ltd
Abstract
We introduce a compact and unified shear deformation theory for plates with elasto-plastic behavior. We formulate the kinematics of the two-dimensional structure in a compact and unified manner using the Carrera Unified Formulation. This formulation allows for generalized expansions of the primary variables and through-the-thickness functions. We obtain the governing equations using the principle of virtual work and a finite element discretization. We solve the nonlinear equations using a Newton–Raphson linearization scheme, and linearize the constitutive equations using the algorithmic tangent moduli. We consider the J2 flow theory of plasticity, and use a backwards Euler scheme to update the stresses. We analyze the convergence, and compare the effectiveness of the Mixed Interpolation of Tensorial Components technique in contrasting the shear locking phenomenon in the nonlinear regime to the use of full and uniform reduced integration. We also conduct numerical assessments for plates under uniform and line loads. We compare the present results to those obtained by finite element commercial software, and demonstrate the computational efficiency of the present method.
Volume
118
Language
English
OCDE Knowledge area
Ingeniería de materiales Ingeniería mecánica Ingeniería de sistemas y comunicaciones
Scopus EID
2-s2.0-85072293105
Source
International Journal of Non-Linear Mechanics
ISSN of the container
00207462
Sponsor(s)
This paper was written in the context of the project: “Desarrollo de un software para predecir el desempen̄o estructural de producto terminado en el proceso de fabricación por manufactura aditiva de materiales compuestos” founded by Cienciactiva , CONCYTEC , under the contract number N 112-2018-FONDECYT-BM-IADT-MU . The first author of this manuscript appreciate the financial support from the Peruvian Government .
Sources of information: Directorio de Producción Científica Scopus