@article{banks_medhin_pinter_2008, title={Modeling of viscoelastic shear: A nonlinear stick-slip formulation}, volume={17}, number={2}, journal={Dynamic Systems and Applications}, author={Banks, H. T. and Medhin, N. G. and Pinter, G. A.}, year={2008}, pages={383–405} }
 @article{banks_pinter_2004, title={High-frequency pulse propagation in nonlinear dielectric materials}, volume={5}, ISSN={["1468-1218"]}, DOI={10.1016/j.nonrwa.2003.10.002}, abstractNote={Abstract We consider a variational formulation based on Maxwell's equations for the propagation of high-frequency (gigahertz to terahertz) ultrashort input pulses in dielectric materials modeled by a linear Debye medium. We demonstrate computationally the emergence of Brillouin precursors in the material (water) and the fact that the peak of this transient is attenuated at a much slower rate than is the carrier frequency. In the 0.1– 1 THz regime the carrier frequency does not propagate in our calculations. Only the precursors enter the material, and this is in line with experiments reported by Pleshko and Palocz (Phys. Rev. Lett. 22 (1969) 1201). We also implement models that include nonlinearly forced Debye and nonlinear Debye polarization dynamics and demonstrate the importance of nonlinear effects, especially when the amplitude of the input signal is large. This is an important step in understanding high-frequency pulse propagation, and it has potential applications in the assessment of safety standards and in extending current imaging capabilities in both civilian and military uses.}, number={4}, journal={NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS}, author={Banks, HT and Pinter, GA}, year={2004}, month={Sep}, pages={597–612} }
 @article{banks_medhin_pinter_2004, title={Nonlinear reptation in molecular based hysteresis models for polymers}, volume={62}, ISSN={["1552-4485"]}, DOI={10.1090/qam/2104273}, abstractNote={We extend the linear “stick-slip” models of Doi-Edwards and Johnson-Stacer to nonlinear tube reptation models. We then show that such models, when combined with probabilistic formulations allowing distributions of relaxation times, provide a good description of dynamic experiments with highly filled rubber in tensile deformations. A connection to other applications including dielectric polarization and reptation in other viscoelastic materials (e.g., living tissue) is noted.}, number={4}, journal={QUARTERLY OF APPLIED MATHEMATICS}, author={Banks, HT and Medhin, NG and Pinter, GA}, year={2004}, month={Dec}, pages={767–779} }
 @article{pinter_2003, title={Global attractor for damped abstract nonlinear hyperbolic systems}, volume={53}, ISSN={["0362-546X"]}, DOI={10.1016/S0362-546X(02)00264-X}, abstractNote={This work is concerned with the long time dynamics of a class of abstract nonlinear second order in time systems with damping. This class of systems describes nonlinear dissipative elastic models with the nonlinear term produced by neo-Hookean type stress–strain relationships. In the present work, we use an analysis based in part on the results of H.T. Banks, D.S. Gilliam and V.I. Shubov on the existence and uniqueness of the weak solutions to show that these systems generate a “strong” dynamical system also. More importantly, we are able to prove the existence of a compact “strong” global attractor. Finally, we make several comments concerning the regularity of this attractor, and present some examples.}, number={5}, journal={NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, author={Pinter, GA}, year={2003}, month={May}, pages={653–668} }
 @article{banks_pinter_2003, title={Maxwell-systems with nonlinear polarization}, volume={4}, ISSN={["1468-1218"]}, DOI={10.1016/S1468-1218(02)00074-3}, abstractNote={We establish well-posedness results for a model describing the propagation of high-intensity electromagnetic waves in a nonlinear medium. The nonlinear material properties are represented by a nonlinear polarization in the form of a convolution. We also include some remarks on potential applications.}, number={3}, journal={NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS}, author={Banks, HT and Pinter, GA}, year={2003}, month={Sep}, pages={483–501} }
 @article{banks_cole_furati_ito_pinter_2002, title={A computational model for sound field absorption by acoustic arrays}, volume={13}, DOI={10.1106/104538902028631}, number={4}, journal={Journal of Intelligent Material Systems and Structures}, author={Banks, H. T. and Cole, D. G. and Furati, K. M. and Ito, K. and Pinter, G. A.}, year={2002}, pages={231–240} }
 @article{ackleh_banks_pinter_2002, title={A nonlinear beam equation}, volume={15}, ISSN={["0893-9659"]}, DOI={10.1016/S0893-9659(01)00147-1}, abstractNote={The existence and uniqueness of weak solutions to a nonlinear beam equation are established under relaxed assumptions (locally Lipschitz plus affine domination) on the nonlinearity in the stiffness constitutive law. The results provide alternatives to previous theories requiring rather stringent monotonicity assumptions. The techniques and arguments are applicable to a large class of nonlinear second-order (in time) partial differential equation systems.}, number={3}, journal={APPLIED MATHEMATICS LETTERS}, author={Ackleh, AS and Banks, HT and Pinter, GA}, year={2002}, month={Apr}, pages={381–387} }
 @article{banks_pinter_yeoh_2002, title={Analysis of bonded elastic blocks}, volume={36}, ISSN={["0895-7177"]}, DOI={10.1016/S0895-7177(02)00234-0}, abstractNote={We investigate the compression of rubber blocks bonded to rigid metal plates for several different geometries, namely, for rectangular and V-shaped blocks. We obtain reasonably simple solutions in series form relating the force and the displacement using the “pressure method” developed by Gent [1–3]. Our initial assumption concerning the incompressibility of the rubber is subsequently relaxed to “near incompressibility” to yield more accurate solutions. We demonstrate a very good agreement between the theoretical solutions and the results of linear finite element simulations.}, number={7-8}, journal={MATHEMATICAL AND COMPUTER MODELLING}, author={Banks, HT and Pinter, GA and Yeoh, OH}, year={2002}, month={Nov}, pages={875–888} }
 @misc{yeoh_pinter_banks_2002, title={Compression of bonded rubber blocks}, volume={75}, ISSN={["1943-4804"]}, DOI={10.5254/1.3547682}, abstractNote={Abstract}, number={3}, journal={RUBBER CHEMISTRY AND TECHNOLOGY}, author={Yeoh, OH and Pinter, GA and Banks, HT}, year={2002}, pages={549–561} }
 @article{ackleh_banks_pinter_2002, title={Well-posedness results for models of elastomers}, volume={268}, ISSN={["0022-247X"]}, DOI={10.1006/jmaa.2000.7281}, abstractNote={Existence and uniqueness of weak solutions are shown for different models of the dynamic behavior of elastomers. The models are based on a nonlinear stress-strain relationship (satisfying a locally Lipschitz and affine domination property) and incorporate hysteretic effects as well. The results provide alternatives to previous theories that required monotonicity assumptions on the nonlinearities. Results with a nonlinear constitutive law and nonlinear internal dynamics are presented for the first time.}, number={2}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Ackleh, AS and Banks, HT and Pinter, GA}, year={2002}, month={Apr}, pages={440–456} }