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Belardinelli, P. (author), Lenci, S. (author), Alijani, F. (author)Through molecular dynamics simulations, we demonstrate the possibility of internal resonances in single-walled carbon nanotubes. The resonant condition is engineered with a lack of symmetry in the boundary condition and activated by increasing the energy exchange with a coupled thermal bath. The critical temperature threshold for initiating...journal article 2024
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Chang, X. (author), Wellens, P.R. (author)The lack of suitable boundary conditions in practical surface wave simulations with maritime structures in current or at forward speed may cause energy in the computational domain to accumulate due to spurious wave reflection. The common way to prevent wave reflection is to use passive wave absorbers, such as damping zones or relaxation zones...journal article 2024
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Successive approximations and interval halving for fractional BVPs with integral boundary conditionsMarynets, K. (author), Pantova, D.H. (author)We study a system of non-linear fractional differential equations, subject to integral boundary conditions. We use a parametrization technique and a dichotomy-type approach to reduce the original problem to two “model-type” fractional boundary value problems with linear two-point boundary conditions. A numerical-analytic technique is applied...journal article 2024
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Bechtel, S. (author)We show L<sup>p</sup>-estimates for square roots of second order complex elliptic systems L in divergence form on open sets in R<sup>d</sup> subject to mixed boundary conditions. The underlying set is supposed to be locally uniform near the Neumann boundary part, and the Dirichlet boundary part is Ahlfors–David regular. The lower endpoint for...journal article 2024
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Marynets, K. (author), Tomovski, Živorad (author)We introduce a successive approximations method to study one fractional periodic boundary value problem of the Hilfer-Prabhakar type. The problem is associated to the corresponding Cauchy problem, whose solution depends on an unknown initial value. To find this value we numerically solve the so-called ’determining system’ of algebraic or...journal article 2024
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Shakeri, I. (author), Wu, W. (author), Michel, Alexander (author), Eder, Martin A. (author)The present study proposes a novel model to modify master S-N curves of components according to their load redistribution capability reflected in different boundary conditions (BCs) based on the fracture mechanics analysis. To that end, a comprehensive numerical study was conducted on a Single Edge Notch Bend (SENB) specimen constrained with...journal article 2024
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Saitta, Simone (author), Maga, L.M. (author), Armour, Chloe (author), Votta, Emiliano (author), O'Regan, Declan P. (author), Salmasi, M. Yousuf (author), Athanasiou, Thanos (author), Weinsaft, Jonathan W. (author), Xu, Xiao Yun (author), Pirola, S. (author), Redaelli, Alberto (author)Background and Objective: Numerical simulations of blood flow are a valuable tool to investigate the pathophysiology of ascending thoratic aortic aneurysms (ATAA). To accurately reproduce in vivo hemodynamics, computational fluid dynamics (CFD) models must employ realistic inflow boundary conditions (BCs). However, the limited availability of...journal article 2023
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Ajay Kumar, Aniketh (author), Mathur, Akshat (author), Gerritsma, M.I. (author), Komen, Ed (author)Several investigations have been undertaken to study the velocity and temperature fields associated with the thermal mixing between fluids, and resulting thermal striping in a T-junction. However, the available experimental databases are not sufficient to describe the involved physics in adequate detail, and, due to experimental limitations,...journal article 2023
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Saeidi, Omid (author), Rahimi Dalkhani, A. (author)A geomechanics program for wellbore stability analysis has been developed consisting of two modules: an analytical-based solution and a numerical-based solution. In the first part, input data are imported, including petrophysical well logs, pressure data, formation well tops, and a well path. Lithology intervals are set with proper prediction...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author)We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive...journal article 2023
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Andrade Corona, C.F. (author), Dieudonné, A.A.M. (author), Gebert, J. (author), Heimovaara, T.J. (author)Nitrogen undergoes multiple biogeochemical transformations during waste degradation, which depend on speciation, prevailing geochemical boundary conditions, and waste surface properties. This study developed a waste biodegradation model with high flexibility in accommodating reaction pathways to assess different process dynamics. The model was...conference paper 2023
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Fečkan, Michal (author), Marynets, K. (author), Wang, J. (author)We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the...journal article 2023
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Shariati, Vahid (author), Roohi, Ehsan (author), Ebrahimi, Amin (author)The direct simulation Monte Carlo (DSMC) method, which is a probabilistic particle-based gas kinetic simulation approach, is employed in the present work to describe the physics of rarefied gas flow in super nanoporous materials (also known as mesoporous). The simulations are performed for different material porosities (0.5≤ϕ≤0.9), Knudsen...journal article 2023
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Marynets, K. (author), Pantova, D.H. (author)We use a numerical-analytic technique to construct a sequence of successive approximations to the solution of a system of fractional differential equations, subject to Dirichlet boundary conditions. We prove the uniform convergence of the sequence of approximations to a limit function, which is the unique solution to the boundary value...journal article 2022
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Tao, N. (author), Anisimov, A. (author), Groves, R.M. (author)Thick composite materials are commonly used as load-bearing structures in marine applications. Developing a suitable and sophisticated non-destructive testing (NDT) method for thick composites is an urgent challenge to improve the safety, reliability and maintenance of these structures. Digital shearography has become an important NDT...journal article 2022
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Hofman, P. (author), Ke, L. (author), van der Meer, F.P. (author)A common choice for multiscale modeling of the mechanical response of composites is to use periodic boundary conditions (PBCs) on square and cubical representative volume elements (RVEs). However, when strain localization occurs in the micromodel, these PBCs are unable to reproduce the transverse isotropy of composite materials with a random...journal article 2022
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Marynets, Vasyl (author), Marynets, K. (author), Kohutych, Oksana (author)We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.journal article 2022
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Paudel, Sandesh (author), Singh, Umesh (author), Crosato, A. (author), Franca, M.J. (author)Assuming that the equilibrium geometry of river channels does not depend on their initial state but solely on boundary conditions, several formulas have been derived that relate the channel depth and width to the river bankfull discharge and bed material. However, due to the existence of a threshold for sediment motion and the strong non...journal article 2022
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van den Boom, S.J. (author), van Keulen, A. (author), Aragon, A.M. (author)An immersed enriched finite element method is proposed for the analysis of phononic crystals (PnCs) with finite element (FE) meshes that are completely decoupled from geometry. Particularly, a technique is proposed to prescribe Bloch–Floquet periodic boundary conditions strongly on non-matching edges of the periodic unit cell (PUC). The...journal article 2021
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Wang, J. (author), van Horssen, W.T. (author), Wang, Jun-Min (author)In this paper an initial–boundary value problem on a bounded, fixed interval is considered for a one-dimensional and forced string equation subjected to a Dirichlet boundary condition at one end of the string and a Robin boundary condition with a slowly varying time-dependent coefficient at the other end of the string. This problem may serve...journal article 2021