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Contact mechanics
Published in Georgios A. Drosopoulos, Georgios E. Stavroulakis, Nonlinear Mechanics for Composite Heterogeneous Structures, 2022
Georgios A. Drosopoulos, Georgios E. Stavroulakis
Unilateral contact arises, when points on the adjacent boundaries may or may not be in contact. The complete description of unilateral contact, which involves non-penetration inequalities, non-tensile contact stress inequalities and complementarity relations which exclude, pointwise, the one of the previous two cases, reads: yN=d−uN≥0,−SN≥0,yNTSN=0
Fully automatic approach for the diagnosis of masonry arches from laser scanning data and inverse finite element analysis
Published in Koen Van Balen, Els Verstrynge, Structural Analysis of Historical Constructions: Anamnesis, Diagnosis, Therapy, Controls, 2016
B. Riveiro, B. Conde, G.A. Drosopoulos, G.E. Stavroulakis, M.E. Stavroulaki
A unilateral contact law governs the behavior in the normal direction of an interface, indicating that no tension forces can be transmitted. The behavior in the tangential direction is ruled out by the Coulomb friction model (friction coefficient of 0.6) which takes into account that sliding may or may not occur.
2D(r,t) Simulations of the HBC-4 Power-to-Melt Experiment with the Fuel Performance Code ALCYONE
Published in Nuclear Technology, 2023
J. Sercombe, V. D’Ambrosi, S. Béjaoui, I. Zacharie-Aubrun
Compared to Fig. 1, half of the fragmented pellet and of the overlying cladding is this time considered in the simulation. Four identical fragments with a vertex angle of 45 deg are meshed. The mechanical boundary conditions are chosen to match those of the standard 2D(r,) scheme. Fracture planes are introduced on the Px1 plane: for fragments 1 and 4. Unilateral contact conditions are introduced at the fragment-fragment interfaces to avoid interpenetration (marked by the dashed black lines). As in the standard 2D(r,) scheme of ALCYONE, unilateral contact with friction is considered at the pellet fragments–clad interface.
Dual methods for frictional contact problem with electroelastic-locking materials
Published in Optimization, 2021
Locking materials are defined to be hyperelastic materials for which strain tensor belongs to convex set. Then constitutive laws are assumed such that the body complies a material law of the inclusion form. For such material, the strain increases without any stress up to given locking strain, and then the strain locks and cannot increase while the stress can be increased to any value. Elastic locking materials were initiated by Prager [1–3] and the study by the duality of this kind of problems is treated by [4]. Recently, penalty method for a unilateral contact problem with non local friction of Coulomb between a locking material and a rigid foundation [5]. Elliptic variational–hemivariational inequalities arising in contact problems for elastic ideally locking materials can be found in [6–10]. Mathematical model describing the equilibrium of a locking material with memory (history-dependent elastic material with locking character) is introduced in [11]. Numerical analysis and error estimates for locking material governed by variational–hemivariational inequalities were studied in [12].
Effect of glass fibre grids on the bonding strength between two asphalt layers and its Contact Dynamics method modelling
Published in Road Materials and Pavement Design, 2019
Loba Sagnol, Juan Carlos Quezada, Cyrille Chazallon, Markus Stöckner
The simulations were carried out by means of the CD method with spherical particles (Dubois & Jean, 2003; Jean & Moreau, 1992; Radjai & Richefeu, 2009). The CD method is a particle-based approach which simulates the interaction of a collection of rigid or deformable bodies in contact. This approach allows to model the behaviour and to obtain a micromechanical insight of granular materials such as filling materials in construction foundations, earthworks and transport infrastructure (railway ballast, asphalt). Over the past two decades, the discrete element approach has been used by many researchers to simulate the microstructure of asphalt mixtures (Adhikari & You, 2008; Cai, McDowell, & Airey, 2014; Collop, McDowell, & Lee, 2006; Liu & You, 2009). In the CD method, the equations of motion for each particle are formulated as differential inclusions in which velocity jumps replace accelerations. The unilateral contact interactions and Coulomb friction law are treated as complementarity relations or set-valued contact laws. For our simulations, we used the LMGC90 software, which is capable of modelling a collection of particles of various shapes by different algorithms (Dubois & Jean, 2003).