Search Results - "Shillor, M"
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1
Vibrations of a Gao beam subjected to a moving mass
Published in Nonlinear analysis: real world applications (01-12-2019)“…This paper models, analyzes and simulates the vibrations of a nonlinear Gao beam that is subjected to a moving mass or a massless point-force. Such problems…”
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2
Modeling, Analysis and Simulations of a Dynamic Thermoviscoelastic Rod-Beam System
Published in Differential equations and dynamical systems (01-10-2017)“…This work models, analyses and simulates a coupled dynamic system consisting of a thermoviscoelastic rod and a linear viscoelastic beam. It is motivated by…”
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3
Analysis and Simulations of a Contact Problem for a Nonlinear Dynamic Beam with a Crack
Published in Quarterly journal of mechanics and applied mathematics (01-02-2012)“…This work studies and simulates the dynamics of a Gao beam that may come in contact with a reactive foundation and which has an evolving symmetric edge crack…”
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4
Numerical analysis and simulations of a dynamic frictionless contact problem with damage
Published in Computer methods in applied mechanics and engineering (01-12-2006)“…The process of dynamic frictionless contact between a viscoelastic body and a reactive foundation, which includes material damage, is modelled, numerically…”
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5
A model for a magnetorheological damper
Published in Mathematical and computer modelling (01-07-2008)“…A lumped mass model for a damper filled with a magnetorheological fluid, which includes frictional and temperature effects, is described, analyzed, and…”
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6
Topological dynamic consistency of non-standard finite difference schemes for dynamical systems
Published in Journal of difference equations and applications (01-12-2011)“…This work expands the mathematical theory which connects continuous dynamical systems and the discrete dynamical systems obtained from the associated numerical…”
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7
Dynamic frictionless contact with adhesion
Published in Zeitschrift für angewandte Mathematik und Physik (01-01-2004)“…A model for the dynamic, adhesive, frictionless contact between a viscoelastic body and a deformable foundation is described. The adhesion process is modeled…”
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8
Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion
Published in Journal of computational and applied mathematics (15-10-2003)“…A model for the adhesive, quasistatic and frictionless contact between a viscoelastic body and a deformable foundation is described. The adhesion process is…”
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9
Existence results for dynamic adhesive contact of a rod
Published in Journal of mathematical analysis and applications (15-03-2009)“…The existence and uniqueness of the weak solution to the model for the dynamics of a viscoelastic rod which is in adhesive contact with an obstacle is…”
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10
Thermomechanical behaviour of a damageable beam in contact with two stops
Published in Applicable analysis (01-06-2006)“…A model for the thermomechanical behaviour of a beam which allows for the general evolution of material damage is presented and investigated. One end of the…”
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11
Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments
Published in Applied numerical mathematics (01-09-2007)“…The processes of quasistatic evolution of the mechanical state of an elastic body, and the development of material damage which results from internal…”
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12
Quasistatic viscoelastic contact with normal compliance and friction
Published in Journal of elasticity (01-01-1998)“…We prove the existence of a unique weak solution to the quasistatic problem of frictional contact between a deformable body and a rigid foundation. The…”
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13
Regularity of solutions to a dynamic frictionless contact problem with normal compliance
Published in Nonlinear analysis (01-12-2004)“…The regularity in time of solutions to a problem of frictionless dynamic contact between a viscoelastic body and a reactive foundation is established. Contact…”
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14
Analysis and numerical simulations of a dynamic contact problem with adhesion
Published in Mathematical and computer modelling (01-06-2003)“…The dynamic process of frictionless contact between a viscoelastic body and a reactive foundation is modelled, analyzed, and simulated. The contact is adhesive…”
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15
Thermal analysis of the grinding process
Published in Mathematical and computer modelling (01-05-2004)“…A two-dimensional mathematical model for the thermal aspects of a grinding process is presented. The model includes heat conduction in the grinding wheel,…”
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16
Elastic beam in adhesive contact
Published in International journal of solids and structures (01-03-2002)“…Dynamic and quasistatic processes of contact with adhesion between an elastic or viscoelastic beam and a foundation are considered. The contact is modeled with…”
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17
Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient
Published in Mathematical and computer modelling (01-11-2002)“…We prove existence and uniqueness of the weak solution for a quasi-static thermoviscoelastic problem which describes bilateral frictional contact between a…”
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18
Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod
Published in IMA journal of applied mathematics (01-12-2005)“…We describe and analyse a model for a problem of thermoviscoelastic dynamic contact which allows for the general evolution of the material damage. The effects…”
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19
One-dimensional dynamic thermoviscoelastic contact with damage
Published in Journal of mathematical analysis and applications (01-08-2002)“…The problem of thermoviscoelastic dynamic contact between a rod and a rigid obstacle, when the material damage is taken into account, is modeled and analyzed…”
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20
Modelling and simulations of a bonded rod
Published in Mathematical and computer modelling (01-09-2005)“…This work models, analyzes, and simulates the process of adhesive bonding between a rod or a slab and an object. The process is assumed to be quasistatic and…”
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