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Computational Mechanics, Department of Physics
University of Evora, Portugal
Selected Publications:
Cesar De Sa, J. M. A., Jorge, R. M. N., Valente, R. A. F., and Areias, P. M. A. (2002). “Development of shear locking-free shell elements using an enhanced assumed strain formulation.” International Journal for Numerical Methods in Engineering, Vol. 53, No. 7, pp. 1721–1750.
P.M.A. Areias, J.M.A. Cesar de Sa and Concelo Antonio. A gradient model for finite strain elastoplasticity coupled with damage. Finite Elements in Analysis and Design, 39: 1191–1235, 2003
P.M.A. Areias. Finite element technology, damage modeling, contact constraints and fracture analysis. Doutoramento, FEUP - Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n 4200-465 Porto, Portugal, 2003. www.fe.up.pt.
Areias, P. M. A., Song, J.-H. and Belytschko, T., “A finite-strain quadrilateral shell element based on discrete Kirchhoff–Love constraints”, International Journal for Numerical Methods in Engineering, Vol. 64, No. 9, November 2005, pp. 1166–1206
Areias PMA, Belytschko T. Non-linear analysis of shells with arbitrary evolving cracks using XFEM. Int J Numer Methods Engng 2005;62:384–415.
P.M.A. Areias and T. Belytschko. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. International Journal for Numerical Methods in Engineering, 63:760–788, 2005.
P.M.A. Areias, J.H. Song, and T. Belytschko. Analysis of fracture in thin shells by overlapping paired elements. International Journal for Numerical Methods in Engineering, 195:5343–5360, 2006.
J-H Song, P.M.A. Areias, and T. Belytschko. A method for dynamic crack and shear band propagation with phantom nodes. International Journal for Numerical Methods in Engineering, 2006.
Rabczuk, T. and Areias, P. (2006). “A meshfree thin shell for arbitrary evolving cracks based on an external enrichment.” Computer Modeling in Engineering and Sciences, Vol. 16, No. 2, pp. 115–130.
Rabczuk T, Areias PMA, Belytschko T, “A meshfree thin shell method for nonlinear dynamic fracture”, Int J Numer Methods Eng 72: 524–548, 2007
Rabczuk, T., Areias, P. M. A., and Belytschko, T. (2007). “Dynamic fracture.” International Journal for Numerical Methods in Engineering, Vol. 72, No. 5, pp. 524–548.
Rabczuk, T., Areias, P. M. A., and Belytschko, T. (2007). “A simplified meshfree method for shear bands with cohesive surfaces.” International Journal for Numerical Methods in Engineering, Vol. 69, No. 5, pp. 993–1021.
N. Nguyen-Thanh, N. Valizadeh, M.N. Nguyen, H. Nguyen-Xuan, X. Zhuang, P. Areias, G. Zi, Y. Bazilevs, L. De Lorenzis, and T. Rabczuk. An extended isogeometric thin shell analysis based on Kirchhoff–Love theory. Computer Methods in Applied Mechanics and Engineering, 284:265–291, 2015.
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