Nonlocal Continuum Field Theories

By A. Eringen, J. Wegner. 2002

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Longitudinal vibrations of nano-rods by stress-driven integral elasticity (2019, methodology): “The pioneering continuummechanics based methods, addressing size-dependency of nano-structures, include Eringen strain-driven nonlocal integral theory [5], [6], Mindlin strain gradient theory [7], [8], first-order strain gradient theory [9], [10], second-order strain gradient theory [11]–[13], coupl”
Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates (2016, methodology): “According to the nonlocal elasticity theory, the basic relations for homogeneous MEE solids can be written as [14,15]”
On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach (2014, background): “The focus of this paper on the possible nonself-adjointness of the differential-based Eringen’s model does not cover some other integral-based nonlocal models available in the seminal book of Eringen [2], where for instance the kernel of the nonlocal model is assumed to have symmetrical spatial prop”