Found 181 Documents (Results 1–100)
Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation. (English) Zbl 1535.74632
Modal analysis of frame structures with semi-rigid joints and viscoelastic connections modeled by fractional derivatives. (English) Zbl 1529.74027
Dynamics of a surfactant-laden viscoelastic thread in the presence of surface viscosity. (English) Zbl 1534.76008
Dynamic analysis of variable fractional order cantilever beam based on shifted Legendre polynomials algorithm. (English) Zbl 1505.65274
A large strain thermodynamically-based viscoelastic-viscoplastic model with application to finite element analysis of polytetrafluoroethylene (PTFE). (English) Zbl 1503.74017
Dual fractional modeling of rate type fluid through non-local differentiation. (English) Zbl 1535.35141
MSC:
35Q35
76A10
76S05
76W05
74F10
74D10
74K20
44A10
44A15
42A38
35A09
35A22
62M05
62M07
26A33
35R11
The interface debonding in particle-reinforced nonlinear viscoelastic polymer composites. (English) Zbl 1523.74017
Internal resonance of an axially transporting beam with a two-frequency parametric excitation. (English) Zbl 1510.74056
Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow. (English) Zbl 1501.35413
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 149, 23 p. (2022).
Numerical simulation of single- and multi-step shear stress relaxations of isotropic magnetorheological elastomer using fractional derivative viscoelastic models. (English) Zbl 1500.74018
Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory. (English) Zbl 1506.74078
Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 319-332 (2022).
Reviewer: Vinod K. Arya (Dallas)
Existence of strong solutions for the Oldroyd model with multivalued right-hand side. (English) Zbl 1511.47090
Global existence of weak solutions to viscoelastic phase separation. II: Degenerate case. (English) Zbl 1492.35097
Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers. (English) Zbl 1486.76031
Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm. (English) Zbl 1513.65431
Semi-discrete and fully discrete mixed finite element methods for Maxwell viscoelastic model of wave propagation. (English) Zbl 1499.65544
Cattaneo-Christov heat flux and heat generation/absorption effect on viscous Walters’ B fluid through a porous medium with chemical reaction. (English) Zbl 1504.35275
Investigation of various types of control problems for one nonlinear model of filtration. (English) Zbl 1513.76145
On strong solutions of fractional nonlinear viscoelastic model of Voigt type. (English) Zbl 1473.35466
Insights into the microstructural origin of brain viscoelasticity. Prospects for microstructure-informed constitutive modeling. (English) Zbl 1475.74101
Modeling of electro-viscoelastic dielectric elastomer: a continuum mechanics approach. (English) Zbl 1487.74038
Reviewer: Ahmed Ghaleb (Giza)
Semi-discrete and fully discrete hybrid stress finite element methods for Maxwell viscoelastic model of wave propagation. (Chinese. English summary) Zbl 1474.65368
Simulation of the stationary nonisothermal MHD flows of polymeric fluids in channels with interior heating elements. (Russian. English summary) Zbl 1503.76127
Sib. Zh. Ind. Mat. 23, No. 2, 17-40 (2020); translation in J. Appl. Ind. Math. 14, No. 2, 222-241 (2020).
Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model. (English) Zbl 1481.74104
Nonmonotonicity and nonnegativity criteria for the Poisson ratio of isotropic viscoelastic materials described by the Rabotnov nonlinear relation. (English. Russian original) Zbl 1490.74018
Mosc. Univ. Mech. Bull. 75, No. 3, 59-65 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 32-38 (2020).
Asymptotic stability of solutions to the porous media system with hysteresis. (English) Zbl 1448.35043
On strong solutions of a fractional nonlinear viscoelastic Voigt-type model. (English. Russian original) Zbl 1450.35226
Russ. Math. 63, No. 12, 96-100 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 12, 106-111 (2019).
Dispersion and attenuation in a porous viscoelastic model for gravity waves on an ice-covered ocean. (English) Zbl 1476.76009
A numerical insight on the pericellular matrix and elastin fibers in the multiscale mechanics of tendon fascicles. (English) Zbl 1479.74026
Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoelastic fluid. (Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid.) (English) Zbl 1427.76288
Global strong solutions for some differential viscoelastic models. (English) Zbl 1404.35349
Reviewer: Thomas Ernst (Uppsala)
Creep constitutive models for viscoelastic materials based on fractional derivatives. (English) Zbl 1458.74027
A three-dimensional viscoelastic constitutive model of solid propellant considering viscoelastic Poisson’s ratio and its implementation. (English) Zbl 1406.74140
Operator approach to the Ilyushin model for a viscoelastic body of parabolic type. (English. Russian original) Zbl 1379.35311
J. Math. Sci., New York 225, No. 2, 345-381 (2017); translation from Sovrem. Mat., Fundam. Napravl. 57, 31-64 (2015).
Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system. (English) Zbl 1360.76148
Strong solutions to nonlinear degenerate fractional order evolution equations. (Russian, English) Zbl 1413.34041
Sib. Zh. Chist. Prikl. Mat. 16, No. 3, 61-74 (2016); translation in J. Math. Sci., New York 230, No. 1, 146-158 (2018).
Global existence and uniqueness result for the diffusive Peterlin viscoelastic model. (English) Zbl 1320.35343
Nonlinear vibrations of viscoelastic plane truss under harmonic excitation. (English) Zbl 1359.74221
A viscoelastic damage model for polycrystalline ice, inspired by Weibull-distributed fiber bundle models. I: Constitutive models. (English) Zbl 1341.74033
Linear and nonlinear stability analysis of binary viscoelastic fluid convection. (English) Zbl 1438.76004
Comparison of frequentist and Bayesian confidence analysis methods on a viscoelastic stenosis model. (English) Zbl 1282.65026
A nonlinear weighted least-squares finite element method for the Oldroyd-B viscoelastic flow. (English) Zbl 1291.76206
Mathematical models in contact mechanics. (English) Zbl 1255.49002
London Mathematical Society Lecture Note Series 398. Cambridge: Cambridge University Press (ISBN 978-1-107-60665-4/pbk; 978-1-139-10416-6/ebook). xiv, 280 p. (2012).
Reviewer: Jan Lovíšek (Bratislava)
Asymptotic analysis of the equations of motion for viscoelastic Oldroyd fluid. (English) Zbl 1235.35229
Rheological model of viscoelastic body with memory and differential equations of fractional oscillator. (Russian. English summary) Zbl 1449.74063
Determining the model parameters of nonlinear deformation of isotropic and composite materials from the results of an experimental-computational analysis of impulsively loaded circular plates. (English. Russian original) Zbl 1272.74095
J. Appl. Mech. Tech. Phys. 52, No. 1, 132-140 (2011); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 1, 163-172 (2011).
Electro-osmotic flow of viscoelastic fluids in microchannels under asymmetric zeta potentials. (English) Zbl 1254.76168
Dynamic response of a simplified nonlinear fluid model for viscoelastic materials under random parameters. (English) Zbl 1235.76007
MSC:
76A10
Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system. (English) Zbl 1221.35250
Reviewer: Igor Bock (Bratislava)
New material model for describing large deformation of pressure sensitive adhesive. (English) Zbl 1429.74023
Ao, Sio-Iong (ed.) et al., Intelligent control and computer engineering. Selected papers based on the presentations at the international conference on advances in intelligent control and computer engineering, Hong Kong, China, March 17–19, 2010. New York, NY: Springer. Lect. Notes Electr. Eng. 70, 259-269 (2011).
Effect of time-periodic vertical oscillations of the Rayleigh-Bénard system on nonlinear convection in viscoelastic liquids. (English) Zbl 1274.76135
Fully discrete finite element method for the viscoelastic fluid motion equations. (English) Zbl 1197.35016
Reviewer: Adrian Carabineanu (Bucureşti)
Parametric resonances of convection belt system. (English) Zbl 1204.70017
Reviewer: Yuri N. Sankin (Ul’yanovsk)
The onset of convection in a binary viscoelastic fluid saturated porous layer. (English) Zbl 1162.76021
Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids. (English) Zbl 1156.35010
An asymptotic model of a nonlinear Kelvin-Voigt viscoelastic plate. (English) Zbl 1160.35366
N’Guérékata, Gaston M. (ed.), Trends in evolution equation research. Hauppauge, NY: Nova Science Publishers (ISBN 978-1-60456-270-5/hbk). 1-19 (2008).
Reviewer: Igor Bock (Bratislava)
Global stability of equilibrium manifolds, and “peaking” behavior in quadratic differential systems related to viscoelastic models. (English) Zbl 1195.76191
Bifurcation and chaotic response of a cracked rotor system with viscoelastic supports. (English) Zbl 1177.74198
Viscoelastic deformation of anisotropic rock mass with excavations. (Russian) Zbl 1137.74332
Reviewer: R. I. Manuilenko
MSC:
74D10
Fractional derivative consideration on nonlinear viscoelastic statical and dynamical behavior under large pre-displacement. (English) Zbl 1350.74005
Sabatier, J. (ed.) et al., Advances in fractional calculus. Theoretical developments and applications in physics and engineering. Dordrecht: Springer (ISBN 978-1-4020-6041-0/hbk; 978-1-4020-6042-7/ebook). 363-376 (2007).
Prediction of nonlinear viscoelastic behavior of polymeric composites using an artificial neural network. (English) Zbl 1161.74326
MSC:
74C99
Numerical finite element formulation of the Schapery nonlinear viscoelastic material model. (English) Zbl 1047.74061
On the calculation of energy release rate for viscoelastic cracked laminates. (English) Zbl 1137.74424
The long-term fracture of ageing viscoelastic layered composite with an internal circular crack. (Russian. English summary) Zbl 1097.74512
MSC:
74B20
Nonlinear temporal stability analysis of viscoelastic plane channel flows using a fully-spectral method. (English) Zbl 0992.76036
On the steady solution of nonlinear advection equations in steady recirculating flows. (English) Zbl 0997.76008
A thermo-viscoelastic model for elastomeric behaviour and its numerical application. (English) Zbl 1016.74014
On a nonlinear viscoelastic material law at finite strain for polymers. (English) Zbl 1016.74015
Reviewer: Daniel Ševčovič (Bratislava)
Intrinsic viscoelasticity of porous materials. (English) Zbl 0986.74025
Sändig, A.-M. (ed.) et al., Multifield problems. State of the art. Berlin: Springer. 143-150 (2000).
Reviewer: B.Albers (Berlin)
Nonlinear regimes of convection of a viscoelastic fluid in a closed cavity heated from below. (English. Russian original) Zbl 1014.76020
Fluid Dyn. 35, No. 4, 473-478 (2000); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2000, No. 4, 5-11 (2000).
A constitutive model for viscoelastic solids at finite thermomechnical changes. (English) Zbl 0998.74018
Reviewer: Dorin Ieşan (Iaşi)
Linear stability and dynamics of viscoelastic flows using time-dependent stochastic simulation techniques. (English) Zbl 0990.76019
A deformation tensor model for nonlinear rheology of FENE polymer solutions. (English) Zbl 0980.76006
Global existence and uniqueness results for a cellular morphogenesis model. (Résultat d’existence globale et d’unicité pour un modèle de morphogenèse cellulaire.) (French) Zbl 1013.35001
Madaune-Tort, Monique (ed.) et al., Proceedings of the 5th Zaragoza-Pau conference on applied mathematics and statistics, Jaca, Spain, September 15-16, 1997. Zaragoza: Universidad de Zaragoza. Publ. Semin. Mat. García de Galdeano, Serie II. 20, 303-310 (1999).
Shear relaxation in the nonlinear-viscoelastic regime of a Giesekus fluid. (English) Zbl 0974.76008
MSC:
76A10
The quasi-laminar model for wind-to-wave energy transfer. (English) Zbl 0970.76021
Sajjadi, S. G. (ed.) et al., Wind-over-wave couplings: perspectives and prospects. Proceedings of the conference held in Salford, GB, April 1997. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 69, 1-7 (1999).
An operator approach to the study of the Oldroyd hydrodynamic model. (English. Russian original) Zbl 0957.47034
Math. Notes 65, No. 6, 773-776 (1999); translation from Mat. Zametki 65, No. 6, 924-928 (1999).
Reviewer: L.Hącia (Poznań)
A nonlinear viscoelastic constitutive model of solid propellant. (English) Zbl 0951.74012
Reviewer: Gh.Gr.Ciobanu (Iaşi)
Thermodynamics of reacting mixtures of any symmetry with heat conduction, diffusion and viscosity. (English) Zbl 0951.76097
Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields. (English) Zbl 0938.76011
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