It was determined that samples of styrene-butadiene rubber(SBR),containing highly aromatic oil,exhibit memory effects giving rise to dynamic elastic modulus,damping and internal stresses degree which can be tailored d...It was determined that samples of styrene-butadiene rubber(SBR),containing highly aromatic oil,exhibit memory effects giving rise to dynamic elastic modulus,damping and internal stresses degree which can be tailored depending on the applied electric field strength.The capability and stability of the interaction process between aligned neighbor dipoles for exhibiting a memory effect,once the aligning electric field was removed are studied.It is determined that depending on the spatial arrangement and the amount of electric charge of the dipoles,this interaction is able to promote a memory effect which keeps the alignment between them.This electrostatic interaction plays the role of a counteracting effect for keeping the alignment,which was called electroelasticity.The results from the developed model were applied successfully to SBR composite samples for explaining the memory effects recorded from dynamic mechanical analysis(DMA)measurements under electric field.In addition,the model of the electric inclusion based on the inclusion theory for continuous media,was applied to determine the degree of internal stresses in the dielectric composite material due to the external applied electric field.In addition,from the coupling between the model developed here and simple issues related to the mechanical properties of composite materials,a procedure for determining the maximum possible gap between the electric dipoles in composite dielectric materials is also shown.展开更多
Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms.This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the soluti...Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms.This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator,a cocoercive operator and a monotone-Lipschitz continuous operator.The theoretical convergence properties of the proposed iterative algorithm are also presented under mild conditions.More importantly,we use an adaptive stepsize rule in our algorithm to avoid calculating Lipschitz constant,which is generally unknown or difficult to estimate in practical applications.In addition,a large class of composite monotone inclusion problem involving mixtures of linearly composed and parallel-sum type monotone operators is solved by combining the primal-dual approach and our proposed algorithm.As a direct application,the obtained inertial algorithm is exploited to composite convex optimization problem and some numerical experiments on image deblurring problem are also investigated to demonstrate the efficiency of the proposed algorithm.展开更多
文摘It was determined that samples of styrene-butadiene rubber(SBR),containing highly aromatic oil,exhibit memory effects giving rise to dynamic elastic modulus,damping and internal stresses degree which can be tailored depending on the applied electric field strength.The capability and stability of the interaction process between aligned neighbor dipoles for exhibiting a memory effect,once the aligning electric field was removed are studied.It is determined that depending on the spatial arrangement and the amount of electric charge of the dipoles,this interaction is able to promote a memory effect which keeps the alignment between them.This electrostatic interaction plays the role of a counteracting effect for keeping the alignment,which was called electroelasticity.The results from the developed model were applied successfully to SBR composite samples for explaining the memory effects recorded from dynamic mechanical analysis(DMA)measurements under electric field.In addition,the model of the electric inclusion based on the inclusion theory for continuous media,was applied to determine the degree of internal stresses in the dielectric composite material due to the external applied electric field.In addition,from the coupling between the model developed here and simple issues related to the mechanical properties of composite materials,a procedure for determining the maximum possible gap between the electric dipoles in composite dielectric materials is also shown.
基金Supported by the National Natural Science Foundations of China(Grant Nos.11771193,11661056,12061045)。
文摘Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms.This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator,a cocoercive operator and a monotone-Lipschitz continuous operator.The theoretical convergence properties of the proposed iterative algorithm are also presented under mild conditions.More importantly,we use an adaptive stepsize rule in our algorithm to avoid calculating Lipschitz constant,which is generally unknown or difficult to estimate in practical applications.In addition,a large class of composite monotone inclusion problem involving mixtures of linearly composed and parallel-sum type monotone operators is solved by combining the primal-dual approach and our proposed algorithm.As a direct application,the obtained inertial algorithm is exploited to composite convex optimization problem and some numerical experiments on image deblurring problem are also investigated to demonstrate the efficiency of the proposed algorithm.
