His scientific interests lie mostly in Mathematical analysis, Discretization, Extended finite element method, Structural engineering and Fracture mechanics. The study incorporates disciplines such as Geometry, Shell and Finite strain theory in addition to Mathematical analysis. Extended finite element method is a subfield of Finite element method that he explores.
His Finite element method research incorporates themes from Shear band, Deflection and Fracture. His studies examine the connections between Structural engineering and genetics, as well as such issues in Discontinuity, with regards to Nyström method and Quartic function. His Fracture mechanics research integrates issues from Porosity, Local mesh refinement and Electromagnetic shielding.
Pedro M. A. Areias mainly investigates Finite element method, Finite strain theory, Mathematical analysis, Structural engineering and Constitutive equation. Pedro M. A. Areias works in the field of Finite element method, focusing on Extended finite element method in particular. His Finite strain theory research includes elements of Plasticity, Tetrahedron, Geometry, Hyperelastic material and Applied mathematics.
He is interested in Discretization, which is a field of Mathematical analysis. He has researched Structural engineering in several fields, including Discontinuity and Mechanical engineering. His Constitutive equation study combines topics in areas such as Strain rate and Kinematics.
His main research concerns Finite strain theory, Finite element method, Mathematical analysis, Tetrahedron and Applied mathematics. His Finite strain theory study integrates concerns from other disciplines, such as Fracture mechanics and Fracture. His Finite element method study which covers Flow that intersects with Shear stress.
His work blends Mathematical analysis and Coulomb studies together. His work investigates the relationship between Tetrahedron and topics such as Stress that intersect with problems in Variational principle, Hexahedron and Hyperelastic material. His research integrates issues of Hill yield criterion, Algebraic equation, Nonlinear system, Constitutive equation and Differential equation in his study of Applied mathematics.
Pedro M. A. Areias mainly focuses on Finite strain theory, Shell, Finite element method, Nonlinear system and Applied mathematics. His Finite strain theory research is multidisciplinary, relying on both Cauchy stress tensor, Mathematical analysis and Tensor. His Shell research is multidisciplinary, incorporating elements of Power, Composite number and Surface.
Pedro M. A. Areias conducted interdisciplinary study in his works that combined Finite element method and SHELL model. His Nonlinear system study incorporates themes from Beam, Quadratic equation, Singularity, Constitutive equation and Robustness. His research on Applied mathematics often connects related areas such as Kinematics.
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A method for dynamic crack and shear band propagation with phantom nodes
Jeong-Hoon Song;Pedro M. A. Areias;Ted Belytschko.
International Journal for Numerical Methods in Engineering (2006)
Analysis of three‐dimensional crack initiation and propagation using the extended finite element method
Pedro M. A. Areias;Ted Belytschko.
International Journal for Numerical Methods in Engineering (2005)
A meshfree thin shell method for non‐linear dynamic fracture
T. Rabczuk;P. M. A. Areias;T. Belytschko.
International Journal for Numerical Methods in Engineering (2007)
An extended isogeometric thin shell analysis based on Kirchhoff-Love theory
N. Nguyen-Thanh;N. Valizadeh;M. N. Nguyen;H. Nguyen-Xuan.
Computer Methods in Applied Mechanics and Engineering (2015)
Damage and fracture algorithm using the screened Poisson equation and local remeshing
P. Areias;P. Areias;M.A. Msekh;T. Rabczuk;T. Rabczuk.
Engineering Fracture Mechanics (2016)
Finite strain fracture of plates and shells with configurational forces and edge rotations
P. Areias;T. Rabczuk.
International Journal for Numerical Methods in Engineering (2013)
Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model
Mohammed A. Msekh;Mohammed A. Msekh;N. H. Cuong;Goangseup Zi;P. Areias.
Engineering Fracture Mechanics (2017)
Phase-field analysis of finite-strain plates and shells including element subdivision
P. Areias;P. Areias;Timon Rabczuk;Timon Rabczuk;M. A. Msekh;M. A. Msekh.
Computer Methods in Applied Mechanics and Engineering (2016)
A Meshfree Thin Shell for Arbitrary Evolving Cracks Based on An Extrinsic Basis
Timon Rabczuk;Pedro Areias.
Cmes-computer Modeling in Engineering & Sciences (2006)
Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
N. Nguyen-Thanh;K. Zhou;X. Zhuang;P. Areias.
Computer Methods in Applied Mechanics and Engineering (2017)
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