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Systematic symbolic generation of additive and multiplicative discrete constitu...

Areias, P.; Rabczuk, T.

The introduction of equality constraints in a finite element discretization is performed by matrix transformation methods on the clique format of sparse matrices. Topological ordering allows interdependent constraints to be applied without pre-assignment. Besides the standard finite element cliques, constraints generate pseudo-elements which are consequence of the second derivatives of the constraint functions....


Damage-based fracture with electro-magnetic coupling

Areias, P.; Silva, H.G.; Van Goethem, N.; Bezzeghoud, M.

Acoupled elastic and electro-magnetic analysis is proposed including finite displacements and damage-based fracture. Piezo-electric terms are considered and resulting partial differential equations include a non-classical wave equation due to the specific constitutive law. The resulting wave equation is constrained and, in contrast with the traditional solutions of the decoupled classical electromagnetic wave e...


Ductile fracture of shells: effective algorithms for non-smooth problems

Areias, P.; Rabczuk, T.

A non-smooth approach to fracture of shells.


Physics of Seismo-electromagnetic Phenomena

Silva, Hugo Gonçalves; Bezzeghoud, Mourad; Borges, J.F.; Bento, C.; Moita, P.; Serrano, C.; Reis, A.H.; Rosa, R.N.; Tlemçani, M.; Biagi, P.F.

The seismo-electromagnetic phenomena (SEMG) are integrated in a relatively recent research field that studies diverse phenomena such as: unusual seismo-electrical signals [1], abnormal ultra-low-frequency (ULF) seismo-electromagnetic emissions [2], very-low-frequency (VLF) and low-frequency (LF) radiobroadcast anomalies associated with ionosphere perturbations [3], variation of total electron content of the ion...


Vibrações mecânicas lineares e análise em frequência

Areias, P.

Um resumo sobre vibrações mecânicas e análise em frequência.


Fracture of piezoelectric materials causing electromagnetic emissions

Silva, Hugo Gonçalves; Areias, P.M.; Garção, J.E.; Van Goethem, N.; Bezzeghoud, Mourad

The seismo-electromagnetic phenomena (SEMG) are integrated in a relatively recent research field that studies diverse phenomena such as: unusual seismo-electrical signals [1], abnormal ultra-low-frequency (ULF) seismo-electromagnetic emissions [2], very-low-frequency (VLF) and low-frequency (LF) radiobroadcast anomalies associated with ionosphere perturbations [3], variation of total electron content of the ion...


Smooth finite strain plasticity with non-local pressure support

Areias, P.

The aim of this work is to introduce an alternative framework to solve problems of finite strain elastoplasticity including anisotropy and kinematic hardening coupled with any isotropic hyperelastic law. After deriving the constitutive equations and inequalities without any of the customary simplifications, we arrive at a new general elasto-plastic system. We integrate the elasto-plastic algebraico-differential...


Active and passive behaviors of soft tissues: Pelvic floor muscles

Areias, P.; Pato, M. P. M.

A new active-contraction visco-elastic numerical model of the pelvic floor (skeletal) muscle is presented. Our model includes all elements that represent the muscle constitutive behavior, contraction and relaxation. In contrast with the previous models, the activation function can be null. The complete equations are shown and exactly linearized. Small verification and validation tests are performed and the pelv...


Arbitrary bi-dimensional finite strain crack propagation

Areias, P.

In this paper, a systematic approach for elastic finite strain crack propagation with multiple cohesive cracks and self-contact is described. Crack paths are determined by the CTOD method and the advance criterion uses either the equivalent stress intensity factor or the tip-element stress. Crack intersections, coalescence and cohesive laws are accounted for, as is the formation of multiple particles. Globally-...


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