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1

DESMARAIS, MATHIEU, and RACHID AISSAOUI. "MODELING OF KNEE ARTICULAR CARTILAGE DISSIPATION DURING GAIT ANALYSIS." Journal of Mechanics in Medicine and Biology 08, no. 03 (2008): 377–94. http://dx.doi.org/10.1142/s021951940800267x.

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Articular cartilage dissipates contact loads according to three dissipative mechanisms: frictional drag, intrinsic viscoelasticity, and surface friction. Estimation of dissipation due to these three mechanisms during gait is required to understand the dissipative properties of articular cartilage. Fourteen healthy subjects performed a gait analysis on treadmill. Tibiofemoral contact forces were estimated from inverse dynamic analysis and from a reductionist knee contact model. These contact forces and the results obtained from a preloading creep simulation were introduced into a biphasic poroviscoelastic articular cartilage model, and a one-dimensional confined compression was performed. Articular dissipation from each dissipative mechanism was estimated. Sensitivity analysis was performed to determine the effects of material parameters and length of the preloading simulation on the patterns of the dissipative mechanisms. Dissipative force patterns for all dissipative mechanisms were found to be similar to those of tibiofemoral contact forces. Frictional drag was found to be the dominant dissipative mechanism. The initial permeability and the viscoelastic spectrum parameters were found to have an important impact on the magnitude of the peaks of dissipative patterns. If appropriate material parameters are introduced, this model could be used to compare the difference between healthy and osteoarthritic human articular cartilage.
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2

James, Guillaume, Kirill Vorotnikov, and Bernard Brogliato. "Kuwabara-Kono numerical dissipation: a new method to simulate granular matter." IMA Journal of Applied Mathematics 85, no. 1 (2020): 27–66. http://dx.doi.org/10.1093/imamat/hxz034.

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Abstract A new method is introduced for the simulation of multiple impacts in granular media using the Kuwabara-Kono (KK) contact model, a nonsmooth (not Lipschitz continuous) extension of Hertz contact that accounts for viscoelastic damping. We use the technique of modified equations to construct time-discretizations of the nondissipative Hertz law matching numerical dissipation with KK dissipation at different consistency orders. This allows us to simulate dissipative impacts with good accuracy without including the nonsmooth KK viscoelastic component in the contact force. This tailored numerical dissipation is developed in a general framework, for Newtonian dynamical systems subject to dissipative forces proportional to the time-derivative of conservative forces. Numerical tests are performed for the simulation of impacts in Newton’s cradle and on alignments of alternating large and small balls. Resulting wave phenomena (oscillator synchronization, propagation of dissipative solitary waves, oscillatory tails) are accurately captured by implicit schemes with tailored numerical dissipation, even for relatively large time steps.
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3

Giner, V., M. Sancho, and G. Martínez. "Electromagnetic forces on dissipative dielectric media." American Journal of Physics 63, no. 8 (1995): 749–53. http://dx.doi.org/10.1119/1.18079.

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4

Brown, George E., Matthew Overby, Zahra Forootaninia, and Rahul Narain. "Accurate dissipative forces in optimization integrators." ACM Transactions on Graphics 37, no. 6 (2019): 1–14. http://dx.doi.org/10.1145/3272127.3275011.

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5

Veskovic, Miroslav, and Vukman Covic. "On the instability of equilibrium of a mechanical system with nonconservative forces." Theoretical and Applied Mechanics 31, no. 3-4 (2004): 411–24. http://dx.doi.org/10.2298/tam0404411v.

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In this paper the stability of equilibrium of nonholonomic systems, on which dissipative and nonconservative positional forces act, is considered. We have proved the theorems on the instability of equilibrium under the assumptions that: the kinetic energy, the Rayleigh?s dissipation function and the positional forces are infinitely differentiable functions; the projection of the positional force component which represents the first nontrivial form of Maclaurin?s series of that positional force to the plane, which is normal to the vectors of nonholonomic constraints in the equilibrium position, is central and repulsive (with its centre of action in the equilibrium position). The suggested theorems are generalization of the results from [V.V. Kozlov, Prikl. Math. Mekh. (PMM), T58, V5, (1994), 31-36] and [M.M. Veskovic, Theoretical and Applied Mechanics, 24, (1998), 139-154]. The result obtained is analogous to the result from [D.R. Merkin, Introduction to theory of the stability of motion, Nauka, Moscow (1987)], which refers to the impossibility of equilibrium stabilization in a holonomic conservative system by dissipative and nonconservative positional forces in case when the potential energy in the equilibrium position has the maximum. The proving technique will be similar to that used in the paper [V.V. Kozlov, Prikl. Math. Mekh. (PMM), T58, V5, (1994), 31-36]. .
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6

ROTTER, I. "THE INTERPLAY BETWEEN REGULAR AND CHAOTIC MOTION IN NUCLEI." Modern Physics Letters A 02, no. 04 (1987): 233–37. http://dx.doi.org/10.1142/s021773238700032x.

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The regular motion of nucleons in the low-lying nuclear states and the chaotic motion in the compound nuclei are shown to arise from the interplay of conservative and dissipative forces in the open quantum mechanical nuclear system. The regularity at low level density is caused by selforganization in a conservative field of force. At high level density, chaoticity appears since information on the environment is transferred into the system by means of dissipative forces.
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7

Беляев, Aleksandr Belyaev, Тришина, and Tatyana Trishina. "FORCED TORSIONAL VIBRATIONS IN THE PRESENCE OF RESISTANCE FORCES." Modeling of systems and processes 8, no. 1 (2015): 9–11. http://dx.doi.org/10.12737/12012.

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The work proposed differential equations describing the torsional oscillations of one- and two-mass mechanical systems taking into account the dissipative losses of various kinds and nature. The dependences for determining the equivalent rigidity of the elastic ties. Using the results of these studies can be realized rational selection of inertial and elastic properties of materials and components damper mechanical system
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8

Gupta, Anurag, and Xanthippi Markenscoff. "Configurational forces as dissipative mechanisms: a revisit." Comptes Rendus Mécanique 336, no. 1-2 (2008): 126–31. http://dx.doi.org/10.1016/j.crme.2007.11.004.

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9

Corral, Eduardo, M. J. Gómez García, Cristina Castejon, Jesús Meneses, and Raúl Gismeros. "Dynamic Modeling of the Dissipative Contact and Friction Forces of a Passive Biped-Walking Robot." Applied Sciences 10, no. 7 (2020): 2342. http://dx.doi.org/10.3390/app10072342.

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This work presents and discusses a general approach for the dynamic modeling and analysis of a passive biped walking robot, with a particular focus on the feet-ground contact interaction. The main purpose of this investigation is to address the supporting foot slippage and viscoelastic dissipative contact forces of the biped robot-walking model and to develop its dynamics equations for simple and double support phases. For this investigation, special attention has been given to the detection of the contact/impact between the legs of the biped and the ground. The results have been obtained with multibody system dynamics applying forward dynamics. This study aims at examining and comparing several force models dealing with different approaches in the context of multibody system dynamics. The normal contact forces developed during the dynamic walking of the robot are evaluated using several models: Hertz, Kelvin-Voight, Hunt and Crossley, Lankarani and Nikravesh, and Flores. Thanks to this comparison, it was shown that the normal force that works best for this model is the dissipative Nonlinear Flores Contact Force Model (hysteresis damping parameter - energy dissipation). Likewise, the friction contact/impact problem is solved using the Bengisu equations. The numerical results reveal that the stable periodic solutions are robust. Integrators and resolution methods are also purchased, in order to obtain the most efficient ones for this model.
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10

Calabrese, Allegra, Djamal Gacemi, Mathieu Jeannin, et al. "Coulomb forces in THz electromechanical meta-atoms." Nanophotonics 8, no. 12 (2019): 2269–77. http://dx.doi.org/10.1515/nanoph-2019-0314.

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AbstractThanks to their large sensitivity to electromagnetic fields, microelectromechanical systems are becoming attractive for applications in the THz band (0.1–10 THz). However, up to date all THz electromechanical systems couple electromagnetic fields to mechanical motion only through photothermal dissipative forces: such mechanism allows for sensitive detection but prevents applications that require coherent transfer of information. In this work, we present a THz electromechanical meta-atom where the coupling between an electromagnetic mode and the displacement of a metallic micro-beam is substantially controlled by a conservative Coulomb force due to charge oscillations in the nanometric-size capacitive part of the meta-atom. We present experiments, performed at room temperature, which allow distinguishing and precisely quantifying the contributions of conservative and dissipative forces in the operation of our electromechanical resonator. Our analysis shows that the Coulomb force becomes the dominant contribution of the total driving force for high-order mechanical modes. Such system paves the way for the realization of coherent THz to optical transducers and allows the realization of fundamental optomechanical systems in the THz frequency range.
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11

Doinikov, Alexander A. "Dissipative effects on Bjerknes forces between two bubbles." Journal of the Acoustical Society of America 102, no. 2 (1997): 747–51. http://dx.doi.org/10.1121/1.419901.

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12

Tagliazucchi, M., and I. Szleifer. "Dynamics of dissipative self-assembly of particles interacting through oscillatory forces." Faraday Discussions 186 (2016): 399–418. http://dx.doi.org/10.1039/c5fd00115c.

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Dissipative self-assembly is the formation of ordered structures far from equilibrium, which continuously uptake energy and dissipate it into the environment. Due to its dynamical nature, dissipative self-assembly can lead to new phenomena and possibilities of self-organization that are unavailable to equilibrium systems. Understanding the dynamics of dissipative self-assembly is required in order to direct the assembly to structures of interest. In the present work, Brownian dynamics simulations and analytical theory were used to study the dynamics of self-assembly of a mixture of particles coated with weak acids and bases under continuous oscillations of the pH. The pH of the system modulates the charge of the particles and, therefore, the interparticle forces oscillate in time. This system produces a variety of self-assembled structures, including colloidal molecules, fibers and different types of crystalline lattices. The most important conclusions of our study are: (i) in the limit of fast oscillations, the whole dynamics (and not only those at the non-equilibrium steady state) of a system of particles interacting through time-oscillating interparticle forces can be described by an effective potential that is the time average of the time-dependent potential over one oscillation period; (ii) the oscillation period is critical to determine the order of the system. In some cases the order is favored by very fast oscillations while in others small oscillation frequencies increase the order. In the latter case, it is shown that slow oscillations remove kinetic traps and, thus, allow the system to evolve towards the most stable non-equilibrium steady state.
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13

Bimonte, Giuseppe, Giampiero Esposito, Giuseppe Marmo, and Cosimo Stornaiolo. "Classical brackets for dissipative systems." Modern Physics Letters A 18, no. 33n35 (2003): 2311–18. http://dx.doi.org/10.1142/s0217732303012520.

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We show how to write a set of brackets for the Langevin equation, describing the dissipative motion of a classical particle, subject to external random forces. The method does not rely on an action principle, and is based solely on the phenomenological description of the dissipative dynamics as given by the Langevin equation. The general expression for the brackets satisfied by the coordinates, as well as by the external random forces, at different times, is determined, and it turns out that they all satisfy the Jacobi identity. Upon quantization, these classical brackets are found to coincide with the commutation rules for the quantum Langevin equation, that have been obtained in the past, by appealing to microscopic conservative quantum models for the friction mechanism.
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14

Romanov, V. A., and P. A. Taranenko. "The Dissipative Properties Assessment of the Oscillatory System of a Serial Sample of the Coriolis Flowmeter." PNRPU Mechanics Bulletin, no. 2 (December 15, 2020): 134–44. http://dx.doi.org/10.15593/perm.mech/2020.2.11.

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The quantitative estimates of the flow rate (or density) of the flowing fluid obtained by the measurements using the industrial Coriolis flowmeters are made by using the laboratory experiments previously performed with the exemplary sensor. In this case we face two limitations, such as the unavailability of the facilities because of intense laboratory schedules and little time to upgrade the sensor oscillatory system. So we suggest using the virtual prototyping approaches as an alternative to the descriptive approaches. One of the fundamental problems of creating a virtual prototype of the Coriolis flowmeter is to separate the main parameter measured by the flowmeter (the phase shift) into the parts connected to the gyroscopic and dissipative forces. To solve this problem, we need to identify the dissipative forces model of the flowmeter oscillatory system. The article discusses the experimental results determining the dissipative properties of the mechanical oscillatory system of one of the commercially available Coriolis flowmeter samples. The algorithm identifying the model of the dissipative properties of the flowmeter oscillatory system is based on studying the nonlinearity degree of the envelope of the vibrogram of free damped oscillations. The experiments were carried out at the pouring stand of the Center for Experimental Mechanics of the South Ural State University, which allows controlling the speed and phase composition of the fluid flowing through the flowmeter. The article describes the processing algorithms for vibrograms of the damped oscillations, which make it possible to isolate the contribution into the dissipated energy from the dry (Coulomb model), the linear viscous (Rayleigh model) and quadratic viscous friction. The pronounced dependence of the vibrational system dissipation of the Coriolis flowmeter on the features of the fluid flow (velocity, mode: continuous, slug) was experimentally proven, the solutions of identifying the model of the dissipative forces are presented. The identification algorithm for the model of the dissipative properties of the flowmeter oscillatory system is based on studying the nonlinearity degree of the envelope of the vibrogram of the free damped oscillations. The use of the pouring stand made it possible to control the speed and phase composition of the fluid flowing through the flowmeter. The article describes the processing algorithms for the vibrograms of the damped oscillations by isolating the contribution into the dissipated energy from the dry (Coulomb model), linear viscous (Rayleigh model) and quadratic viscous friction. The pronounced dependence of the dissipation of the vibrational system of the Coriolis flowmeter on the features of the fluid flow (velocity, mode: continuous, slug) was experimentally proved, and the results of identifying the model of the dissipative forces are presented. The experiments included water acts as a fluid medium and air acts as a dispersed phase.
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15

TARASOV, VASILY E. "CLASSICAL CANONICAL DISTRIBUTION FOR DISSIPATIVE SYSTEMS." Modern Physics Letters B 17, no. 23 (2003): 1219–26. http://dx.doi.org/10.1142/s0217984903006268.

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We derive the canonical distribution as a stationary solution of the Liouville equation for the classical dissipative system. Dissipative classical systems can have stationary states that look like canonical Gibbs distributions. The condition for non-potential forces which leads to this stationary solution is very simple: the power of the non-potential forces must be directly proportional to the velocity of the Gibbs phase (phase entropy density) change. The example of the canonical distribution for a linear oscillator with friction is considered.
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16

DEN OTTER, W. K., and J. H. R. CLARKE. "THE TEMPERATURE IN DISSIPATIVE PARTICLE DYNAMICS." International Journal of Modern Physics C 11, no. 06 (2000): 1179–93. http://dx.doi.org/10.1142/s0129183100001012.

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The two most popular algorithms for dissipative particle dynamics (DPD) are critically discussed. In earlier papers, the Groot–Warren algorithm with λ = 1/2 was recommended over the original Hoogerbrugge–Koelman scheme on the basis of a marked difference in their equilibrium temperatures. We show, however, that both schemes produce identical trajectories. Expressions for the temperatures of an ideal gas and a liquid as functions of the simulation parameters are presented. Our findings indicate that the current DPD algorithms do not possess a unique temperature because of the way in which the dissipative and random forces are included. The commonly used large time steps are beyond the stability limits of the conservative force field integrator.
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17

Spinella, I., and E. Dragoni. "Design equations for binary shape memory actuators under dissipative forces." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 3 (2008): 531–43. http://dx.doi.org/10.1243/09544062jmes1232.

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An analytical procedure to design binary shape memory actuators is described. A generic actuator is considered where a cursor is moved against dissipative forces using an elastic system containing a primary shape memory spring and a bias (backup) element. Three typical cases are analysed and differentiated in the way the bias force is applied to the primary shape memory spring, using a constant force, a conventional spring, or a second shape memory spring. Dimensionless, closed-form relationships are developed, which form the basis of a step-by-step procedure for an optimal design of the whole actuator (primary active spring and bias element). Specific formulas regarding the detailed design of the shape memory elements of the actuator in the form of straight wires and wire helical springs are also presented.
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18

Baumgarten, Karsten, and Brian P. Tighe. "Viscous forces and bulk viscoelasticity near jamming." Soft Matter 13, no. 45 (2017): 8368–78. http://dx.doi.org/10.1039/c7sm01619k.

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19

LO, C. F., and D. KIANG. "DISSIPATIVE DYNAMICS OF A SINGLE PARTICLE IN AN ION TRAP." International Journal of Modern Physics B 14, no. 09 (2000): 993–1006. http://dx.doi.org/10.1142/s021797920000090x.

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In this paper we have investigated the time evolution of a dissipative quantum time-dependent oscillator which can be used to model particle trapping in an ion trap. Our analysis shows that the nonadiabatic changes in the oscillator mass and/or frequency as well as the dissipation constitute two competing forces on the squeezing properties of the system — the former helps generate the squeezing effect whereas the latter tries to destroy it.
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20

Ostrowski, Jim. "Reduced equations for nonholonomic mechanical systems with dissipative forces." Reports on Mathematical Physics 42, no. 1-2 (1998): 185–209. http://dx.doi.org/10.1016/s0034-4877(98)80010-4.

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21

Suchoi, Oren, and Eyal Buks. "Sensing dispersive and dissipative forces by an optomechanical cavity." EPL (Europhysics Letters) 115, no. 1 (2016): 14001. http://dx.doi.org/10.1209/0295-5075/115/14001.

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22

Tamayo, Daniel, Hanno Rein, Pengshuai Shi, and David M. Hernandez. "REBOUNDx: a library for adding conservative and dissipative forces to otherwise symplectic N-body integrations." Monthly Notices of the Royal Astronomical Society 491, no. 2 (2019): 2885–901. http://dx.doi.org/10.1093/mnras/stz2870.

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ABSTRACT Symplectic methods, in particular the Wisdom–Holman map, have revolutionized our ability to model the long-term, conservative dynamics of planetary systems. However, many astrophysically important effects are dissipative. The consequences of incorporating such forces into otherwise symplectic schemes are not always clear. We show that moving to a general framework of non-commutative operators (dissipative or not) clarifies many of these questions, and that several important properties of symplectic schemes carry over to the general case. In particular, we show that explicit splitting schemes generically exploit symmetries in the applied external forces, which often strongly suppress integration errors. Furthermore, we demonstrate that so-called ‘symplectic correctors’ (which reduce energy errors by orders of magnitude at fixed computational cost) apply equally well to weakly dissipative systems and can thus be more generally thought of as ‘weak splitting correctors’. Finally, we show that previously advocated approaches of incorporating additional forces into symplectic methods work well for dissipative forces, but give qualitatively wrong answers for conservative but velocity-dependent forces like post-Newtonian corrections. We release REBOUNDx, an open-source C library for incorporating additional effects into REBOUNDN-body integrations, together with a convenient python wrapper. All effects are machine independent and we provide a binary format that interfaces with the SimulationArchive class in REBOUND to enable the sharing and reproducibility of results. Users can add effects from a list of pre-implemented astrophysical forces, or contribute new ones.
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23

Filipovic, N., M. Kojic, and A. Tsuda. "Modelling thrombosis using dissipative particle dynamics method." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1879 (2008): 3265–79. http://dx.doi.org/10.1098/rsta.2008.0097.

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Aim . Arterial occlusion is a leading cause of cardiovascular disease. The main mechanism causing vessel occlusion is thrombus formation, which may be initiated by the activation of platelets. The focus of this study is on the mechanical aspects of platelet-mediated thrombosis which includes the motion, collision, adhesion and aggregation of activated platelets in the blood. A review of the existing continuum-based models is given. A mechanical model of platelet accumulation onto the vessel wall is developed using the dissipative particle dynamics (DPD) method in which the blood (i.e. colloidal-composed medium) is treated as a group of mesoscale particles interacting through conservative, dissipative, attractive and random forces. Methods . Colloidal fluid components (plasma and platelets) are discretized by mesoscopic (micrometre-size) particles that move according to Newton's law. The size of each mesoscopic particle is small enough to allow tracking of each constituent of the colloidal fluid, but significantly larger than the size of atoms such that, in contrast to the molecular dynamics approach, detailed atomic level analysis is not required. Results . To test this model, we simulated the deposition of platelets onto the wall of an expanded tube and compared our computed results with the experimental data of Karino et al . ( Miscrovasc. Res. 17 , 238–269, 1977). By matching our simulations to the experimental results, the platelet aggregation/adhesion binding force (characterized by an effective spring constant) was determined and found to be within a physiologically reasonable range. Conclusion . Our results suggest that the DPD method offers a promising new approach to the modelling of platelet-mediated thrombosis. The DPD model includes interaction forces between platelets both when they are in the resting state (non-activated) and when they are activated, and therefore it can be extended to the analysis of kinetics of binding and other phenomena relevant to thrombosis.
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24

Brannick, J., C. Liu, T. Qian, and H. Sun. "Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach." Numerical Mathematics: Theory, Methods and Applications 8, no. 2 (2015): 220–36. http://dx.doi.org/10.4208/nmtma.2015.w12si.

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AbstractIn this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived through an energetic variational approach. The total energy of the system includes the kinetic energy and the mixing (interfacial) energies. The least action principle (or the principle of virtual work) is applied to derive the conservative part of the dynamics, with a focus on the reversible part of the stress tensor arising from the mixing energies. The dissipative part of the dynamics is then introduced through a dissipation function in the energy law, in line with Onsager's principle of maximum dissipation. The final system, formed by a set of coupled time-dependent partial differential equations, reflects a balance among various conservative and dissipative forces and governs the evolution of velocity and phase fields. To demonstrate the applicability of the proposed model, a few two-dimensional simulations have been carried out, including (1) the force balance at the three-phase contact line in equilibrium, (2) a rising bubble penetrating a fluid-fluid interface, and (3) a solid particle falling in a binary fluid. The effects of slip at solid surface have been examined in connection with contact line motion and a pinch-off phenomenon.
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25

Izvekov, Sergei, and Betsy M. Rice. "On the importance of shear dissipative forces in coarse-grained dynamics of molecular liquids." Physical Chemistry Chemical Physics 17, no. 16 (2015): 10795–804. http://dx.doi.org/10.1039/c4cp06116k.

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In this work we demonstrate from first principles that the shear frictions describing dissipative forces in the direction normal to the vector connecting the coarse-grained (CG) particles in dissipative particle dynamics (DPD) could be dominant for certain real molecular liquids at high-resolution coarse-graining.
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Stejskal, Tomas, Miroslav Dovica, Jozef Svetlik, and Peter Demec. "Experimental assessment of the static stiffness of machine parts and structures by changing the magnitude of the hysteresis as a function of loading." Open Engineering 9, no. 1 (2019): 655–59. http://dx.doi.org/10.1515/eng-2019-0078.

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AbstractStatic stiffness is determined by one-sided loading and unloading of machine parts relative to the selected base. For each structure, there will be some loss of potential energy due to the dissipative forces that occur during the loading inside the structure. This loss is manifested in hysteresis in the stiffness diagram. A new approach to the assessment of static stiffness consists in gradual, bilateral loading and unloading of the structure through the effect of static forces of different magnitude. In this process, the stiffness hysteresis varies, depending on the intrinsic nature of the dissipative forces, a specific property suitable for assessing the condition of machines.
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27

Bohiniková, Alžbeta, Iveta Jančigová, and Ivan Cimrák. "Modeling Red Blood Cell Viscosity Contrast Using Inner Soft Particle Suspension." Micromachines 12, no. 8 (2021): 974. http://dx.doi.org/10.3390/mi12080974.

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The inner viscosity of a biological red blood cell is about five times larger than the viscosity of the blood plasma. In this work, we use dissipative particles to enable the proper viscosity contrast in a mesh-based red blood cell model. Each soft particle represents a coarse-grained virtual cluster of hemoglobin proteins contained in the cytosol of the red blood cell. The particle interactions are governed by conservative and dissipative forces. The conservative forces have purely repulsive character, whereas the dissipative forces depend on the relative velocity between the particles. We design two computational experiments that mimic the classical viscometers. With these experiments we study the effects of particle suspension parameters on the inner cell viscosity and provide parameter sets that result in the correct viscosity contrast. The results are validated with both static and dynamic biological experiment, showing an improvement in the accuracy of the original model without major increase in computational complexity.
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Vishik, M. I., and V. V. Chepyzhov. "Attractors of dissipative hyperbolic equations with singularly oscillating external forces." Mathematical Notes 79, no. 3-4 (2006): 483–504. http://dx.doi.org/10.1007/s11006-006-0054-2.

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29

Likhachev, A. A., C. Seguı́, and E. Cesari. "Non-Chemical Potentials and Dissipative Forces in Thermoelastic Martensitic Transformation." Scripta Materialia 38, no. 11 (1998): 1635–41. http://dx.doi.org/10.1016/s1359-6462(98)00096-7.

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30

Ali, Ahmad, Sheraz Yaqub, Muhammad Usman, et al. "Motion planning for a planar mechanical system with dissipative forces." Robotics and Autonomous Systems 107 (September 2018): 129–44. http://dx.doi.org/10.1016/j.robot.2018.06.002.

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31

Getino, Juan, and Jose M. Ferrandiz. "Canonical treatment of dissipative forces between Earth mantle and core." Symposium - International Astronomical Union 172 (1996): 233–38. http://dx.doi.org/10.1017/s0074180900127445.

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Dissipative effects arising from the core–mantle interaction are treated in a Hamiltonian framework, using a simple model. Analytical solutions are obtained for free and forced motions. The first show the persistence or damping of the different components. The latter, frequency dependent changes of amplitude and phase. Preliminary numerical values are in acceptable agreement with observational data.
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32

Colmenares, Pedro J., and Roberto Rousse. "Effective boundary forces for several geometries in dissipative particle dynamics." Physica A: Statistical Mechanics and its Applications 367 (July 2006): 93–105. http://dx.doi.org/10.1016/j.physa.2005.11.025.

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33

Démery, V., and D. S. Dean. "Drag forces on inclusions in classical fields with dissipative dynamics." European Physical Journal E 32, no. 4 (2010): 377–90. http://dx.doi.org/10.1140/epje/i2010-10640-1.

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34

Kuhn, Charlotte, Richard Lohkamp, Ralf Müller, Frank Schneider, and Jan C. Aurich. "Strategies for the Computation of Configurational Forces in Dissipative Media." PAMM 14, no. 1 (2014): 171–72. http://dx.doi.org/10.1002/pamm.201410073.

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35

Li, J. "On the stability of dissipative mechanical systems with circulatory forces." Zeitschrift für angewandte Mathematik und Physik 48, no. 1 (1997): 161–64. http://dx.doi.org/10.1007/pl00001465.

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36

de Icaza-Herrera, M., and V. M. Castaño. "Generalized Lagrangian of the parametric Foucault pendulum with dissipative forces." Acta Mechanica 218, no. 1-2 (2010): 45–64. http://dx.doi.org/10.1007/s00707-010-0392-8.

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37

RABEI, EQAB M., TAREQ S. ALHALHOLY, and AKRAM ROUSAN. "POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES." International Journal of Modern Physics A 19, no. 17n18 (2004): 3083–92. http://dx.doi.org/10.1142/s0217751x04019408.

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The Laplace transform of fractional integrals and fractional derivatives is used to develop a general formula for determining the potentials of arbitrary forces: conservative and nonconservative in order to introduce dissipative effects (such as friction) into Lagrangian and Hamiltonian mechanics. The results are found to be in exact agreement with Riewe's results of special cases. Illustrative examples are given.
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38

Srinivasu, M., Devulapalli R.V.S.R.K.Sastry, and G. V.S.R.Deekshitulu. "Ohmic Heating Effect on Magneto Hydrodynamic Marangoni Mixed Convection Boundary Layer Nanofluid Flow." International Journal of Engineering & Technology 7, no. 4.10 (2018): 666. http://dx.doi.org/10.14419/ijet.v7i4.10.21308.

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In surface driven flows, dissipative layers which occur along the surface of two immiscible fluids are known as marangoni boundary layers. Mixed connection takes place when buoyancy forces act beside marangoni effect. Consider a nanofluid flow along a flat surface experiencing marangoni convection with ohmic dissipation and magnetic field. Copper and Alumina are the nanoparticles with water as base fluid. The similarity equations are solved numerically by BVP solver ‘bcp4c”. The flow characteristics are analyzed graphically and discussed.
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Berry, M. V., and Pragya Shukla. "Hamiltonian curl forces." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2176 (2015): 20150002. http://dx.doi.org/10.1098/rspa.2015.0002.

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Newtonian forces depending only on position but which are non-conservative, i.e. whose curl is not zero, are termed ‘curl forces’. They are non-dissipative, but cannot be generated by a Hamiltonian of the familiar isotropic kinetic energy + scalar potential type. Nevertheless, a large class of such non-conservative forces (though not all) can be generated from Hamiltonians of a special type, in which kinetic energy is an anisotropic quadratic function of momentum. Examples include all linear curl forces, some azimuthal and radial forces, and some shear forces. Included are forces exerted on electrons in semiconductors, and on small particles by monochromatic light near an optical vortex. Curl forces imply restrictions on the geometry of periodic orbits, and non-conservation of Poincaré's integral invariant. Some fundamental questions remain, for example: how does curl dynamics generated by a Hamiltonian differ from dynamics under curl forces that are not Hamiltonian?
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40

Boccaccio, A., L. Lamberti, M. Papi, et al. "A hybrid characterization framework to determine the visco-hyperelastic properties of a porcine zona pellucida." Interface Focus 4, no. 2 (2014): 20130066. http://dx.doi.org/10.1098/rsfs.2013.0066.

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The zona pellucida (ZP) is a specialized extracellular matrix surrounding the developing oocyte. This thick matrix consists of various types of glycoprotein that play different roles in the fertilization process. Nowadays, several techniques are available for assessing ZP's mechanical response. The basic assumption behind these methods is that the ZP behaves like an elastic body: hence, dissipative forces are neglected and Young's modulus remains unaffected by probe dynamics. However, dissipative forces are strongly regulated by the slippage of ZP chains past one another while reaction forces related to elastic deformations (driven by the ability of each chain to stretch) depend on the ZP structure (i.e. number of cross-links and distances between knots). Although viscous reaction forces generated by the ZP are one of the main factors regulating sperm transit, their peculiar behaviour along the ZP structure remains poorly understood and rarely investigated. In order to overcome this limitation, a novel visco-hyperelastic model describing the porcine ZP reaction forces generated by nanoindentations at different probe rates is developed and verified in this study. Visco-hyperelastic parameters of porcine ZP membranes are determined by means of a hybrid characterization framework combining atomic force microscopy nanoindentation measurements, nonlinear finite-element analysis and nonlinear optimization. Remarkably, it is possible to separate the contributions of hyperelastic and viscous terms to ZP mechanical response and evaluate the error made in the determination of ZP mechanical properties if viscous effects were not considered.
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Spaggiari, Andrea, Igor Spinella, and Eugenio Dragoni. "Design equations for binary shape memory actuators under arbitrary external forces." Journal of Intelligent Material Systems and Structures 24, no. 6 (2012): 682–94. http://dx.doi.org/10.1177/1045389x12444491.

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This article presents the design equations for an on–off shape memory alloy actuator working against an external system of arbitrary constant forces. A binary shape memory alloy actuator is considered where a cursor is moved against both conservative and dissipative forces, which may be different during the push or pull phase. Three cases are analysed and differentiated in the way the bias force is applied to the primary shape memory alloy spring: using a constant force, a conventional spring or a second shape memory alloy spring. Closed-form dimensionless design equations are developed, which form the basis of a step-by-step procedure for an optimal design of the whole actuator.
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42

Filipovic, N., S. Haber, M. Kojic, and A. Tsuda. "Dissipative particle dynamics simulation of flow generated by two rotating concentric cylinders: II. Lateral dissipative and random forces." Journal of Physics D: Applied Physics 41, no. 3 (2008): 035504. http://dx.doi.org/10.1088/0022-3727/41/3/035504.

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43

Likhachev, O. A., and Yu M. Koval. "Thermoelastic Behaviour, Hysteresis, and Dissipative Forces in Thermodynamics of Martensitic Transformations." Uspehi Fiziki Metallov 16, no. 1 (2015): 1–22. http://dx.doi.org/10.15407/ufm.16.01.001.

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44

Gotsmann, B., C. Seidel, B. Anczykowski, and H. Fuchs. "Conservative and dissipative tip-sample interaction forces probed with dynamic AFM." Physical Review B 60, no. 15 (1999): 11051–61. http://dx.doi.org/10.1103/physrevb.60.11051.

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45

Crampin, M., T. Mestdag, and W. Sarlet. "On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 90, no. 6 (2010): 502–8. http://dx.doi.org/10.1002/zamm.200900327.

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di Prisco, Claudio, and Mauro Vecchiotti. "Design Charts for Evaluating Impact Forces on Dissipative Granular Soil Cushions." Journal of Geotechnical and Geoenvironmental Engineering 136, no. 11 (2010): 1529–41. http://dx.doi.org/10.1061/(asce)gt.1943-5606.0000363.

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47

Amelkin, N. I., and V. V. Kholoshchak. "Steady rotations of a satellite with internal elastic and dissipative forces." Journal of Applied Mathematics and Mechanics 81, no. 6 (2017): 431–41. http://dx.doi.org/10.1016/j.jappmathmech.2018.03.011.

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48

Williams, D. R. M. "Driven Granular Media and Dissipative Gases: Phase Transitions and Instabilities." Australian Journal of Physics 50, no. 2 (1997): 425. http://dx.doi.org/10.1071/p96090.

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We study a simple model of a granular material or powder where the particles are excited by an external noise source and dissipate energy by inelastic collisions. Due to the inelastic collisions between particles there is an effective interaction between them. In one dimension this leads to long-range correlations between the particles in a gas phase despite the absence of long-range forces between the particles. In two dimensions the dissipative effects cause a very sharp liquid–gas phase transition at which the susceptibility has a pronounced peak. In the presence of a double-welled potential the inelasticity causes a symmetry-breaking instability where all the particles cluster into one of the wells.
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49

Kryuchkov, Nikita P., Alexei V. Ivlev, and Stanislav O. Yurchenko. "Dissipative phase transitions in systems with nonreciprocal effective interactions." Soft Matter 14, no. 47 (2018): 9720–29. http://dx.doi.org/10.1039/c8sm01836g.

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The reciprocity of effective interparticle forces can be violated in various open and nonequilibrium systems, in particular, in colloidal suspensions and complex (dusty) plasmas. The results indicate the realization of bistability and dissipative spinodal decomposition.
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50

SHEEJA, V., and M. SABIR. "EFFECT OF DISSIPATION ON THE HAMILTONIAN CHAOS IN COUPLED OSCILLATOR SYSTEMS." International Journal of Bifurcation and Chaos 12, no. 04 (2002): 859–67. http://dx.doi.org/10.1142/s0218127402004747.

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We study the effect of linear dissipative forces on the chaotic behavior of coupled quartic oscillators with two degrees of freedom. The effect of quadratic Rayleigh dissipation functions, one with diagonal coefficients only and the other with nondiagonal coefficients as well are studied. It is found that the effect of Rayleigh Dissipation function with diagonal coefficients is to suppress chaos in the system and to lead the system to its equilibrium state. However, with a dissipation function with nondiagonal elements, other types of behaviors — including fixed point attractor, periodic attractors and even chaotic attractors — are possible even when there is no external driving. In such a system the route to chaos is through period-doubling bifurcations. This result contradicts the view that linear dissipation always causes decay of oscillations in oscillator models.
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