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基于Riesz势空间分数阶算子的非局部粘弹性力学元件 被引量:1
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作者 庞国飞 陈文 《固体力学学报》 CAS CSCD 北大核心 2017年第1期47-54,共8页
将幂函数引入Eringen非局部线粘弹性本构,导出Riesz势形式的应力-应变关系.利用该关系,构造非局部弹簧和非局部阻尼器两类元件;利用元件的串联和并联,建立非局部Kelvin和非局部Maxwell粘弹性模型,推导模型的松弛模量和蠕变柔量.进一步,... 将幂函数引入Eringen非局部线粘弹性本构,导出Riesz势形式的应力-应变关系.利用该关系,构造非局部弹簧和非局部阻尼器两类元件;利用元件的串联和并联,建立非局部Kelvin和非局部Maxwell粘弹性模型,推导模型的松弛模量和蠕变柔量.进一步,给出非局部粘弹性模型在生物组织超声波耗散建模中的应用. 展开更多
关键词 非局部粘弹性 力学元件 Riesz势 空间分数阶 声波耗散
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Nonlinear Dust Acoustic Waves in Dissipative Space Dusty Plasmas with Superthermal Electrons and Nonextensive Ions
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作者 A.M.El-Hanbaly E.K.El-Shewy +1 位作者 M.Sallah H.F.Darweesh 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第5期606-612,共7页
The nonlinear characteristics of the dust acoustic(DA)waves are studied in a homogeneous,collisionless,unmagnetized,and dissipative dusty plasma composed of negatively charged dusty grains,superthermal electrons,and n... The nonlinear characteristics of the dust acoustic(DA)waves are studied in a homogeneous,collisionless,unmagnetized,and dissipative dusty plasma composed of negatively charged dusty grains,superthermal electrons,and nonextensive ions.Sagdeev pseudopotential technique has been employed to study the large amplitude DA waves.It(Sagdeev pseudopotential)has an evidence for the existence of compressive and rarefractive solitons.The global features of the phase portrait are investigated to understand the possible types of solutions of the Sagdeev form.On the other hand,the reductive perturbation technique has been used to study small amplitude DA waves and yields the Korteweg-de Vries-Burgers(Kd V-Burgers)equation that exhibits both soliton and shock waves.The behavior of the obtained results of both large and small amplitude is investigated graphically in terms of the plasma parameters like dust kinematic viscosity,superthermal and nonextensive parameters. 展开更多
关键词 Sagdeev pseudopotential KdV-Burgers equation soliton and shock waves reductive perturbation dust kinematic viscosity
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