What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Thermodynamics
- Geometry
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.
His most cited work include:
- A method for dynamic crack and shear band propagation with phantom nodes (522 citations)
- A meshfree thin shell method for non‐linear dynamic fracture (369 citations)
- Analysis of three‐dimensional crack initiation and propagation using the extended finite element method (280 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Finite element method (54.70%)
- Finite strain theory (57.26%)
- Mathematical analysis (43.59%)
What were the highlights of his more recent work (between 2018-2021)?
- Finite strain theory (57.26%)
- Finite element method (54.70%)
- Mathematical analysis (43.59%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- A NURBS-based inverse analysis of thermal expansion induced morphing of thin shells (16 citations)
- Surface-based and solid shell formulations of the 7-parameter shell model for layered CFRP and functionally graded power-based composite structures (6 citations)
- An objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulation (2 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Composite material
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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