Journal ArticleDOI
Investigation of size effect on band structure of 2D nano-scale phononic crystal based on nonlocal strain gradient theory
Jun Jin,Ningdong Hu,Hongping Hu +2 more
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In this article , the size-dependent band structure of a two-dimensional (2D) PnC is studied by utilizing differential governing equation of nonlocal strain gradient theory (NSGT), and the general equation of motion and boundary conditions are derived by a variational formulation based on Hamilton's principle.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2022-01-01. It has received 10 citations till now. The article focuses on the topics: Multiphysics & Length scale.read more
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A physically-based nonlocal strain gradient theory for crosslinked polymers
Yiyuan Jiang,Li Ming Li,Yujin Hu +2 more
TL;DR: In this paper , a physically-based nonlocal strain gradient theory of polymer networks is proposed, where the kernel functions and intrinsic length scales have unambiguous physical meanings, based on the hypotheses of interpolatory correlation, homogenization, and superposition.
Journal ArticleDOI
The Consistent Couple Stress Theory-Based Vibration and Post-Buckling Analysis of Bi-directional Functionally Graded Microbeam
TL;DR: In this paper , the free vibration, buckling and post-buckling behaviors of bidirectional functionally graded (BDFG) microbeams were studied by employing the Timoshenko beam theory and the consistent couple stress theory.
Journal ArticleDOI
Elastic wave harvesting in piezoelectric-defect-introduced phononic crystal microplates
TL;DR: In this article , a modified couple stress theory (MCST) and a mixed finite element method were used to develop a novel interface that can capture the microstructure-dependent size effect and be applied in the simulation of a PnC-based PEH device.
Journal ArticleDOI
Pneumatic Soft Phononic Crystals with Tunable Band Gap
TL;DR: In this article , a pneumatic soft phononic crystal with tunable band gap was designed to manipulate the propagation of acoustic waves by mechanically generating deformation of a line of soft inflatable silicone cylinders.
Journal ArticleDOI
Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab
Jun Jin,Ningdong Hu,Hongping Hu +2 more
TL;DR: In this paper , the size-dependent band structure of an Si phononic crystal (PnC) slab with an air hole was studied by utilizing the non-classic wave equations of the nonlocal strain gradient theory (NSGT).
References
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Journal ArticleDOI
Locally Resonant Sonic Materials
TL;DR: In this article, a 2-centimeter slab of this composite material is shown to break the conventional mass-density law of sound transmission by one or more orders of magnitude at 400 hertz.
Journal ArticleDOI
Couple stress based strain gradient theory for elasticity
TL;DR: In this paper, an equilibrium relation is developed to govern the behavior of the couples, which constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system.
Journal ArticleDOI
A continuum theory of elastic material surfaces
TL;DR: In this paper, a mathematical framework is developed to study the mechanical behavior of material surfaces, and the tensorial nature of surface stress is established using the force and moment balance laws using a linear theory with non-vanishing residual stress.
Journal ArticleDOI
Acoustic band structure of periodic elastic composites.
Manvir S. Kushwaha,Manvir S. Kushwaha,Manvir S. Kushwaha,Peter Halevi,Peter Halevi,Peter Halevi,Leonard Dobrzynski,Leonard Dobrzynski,Leonard Dobrzynski,Bahram Djafari-Rouhani,Bahram Djafari-Rouhani,Bahram Djafari-Rouhani +11 more
TL;DR: This work presents the first cull band-structure calculations for periodic, elastic composites and obtains a «phononic» band gap which extends throughout the Brillouin zone.
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On first strain-gradient theories in linear elasticity
Raymond D. Mindlin,N.N. Eshel +1 more
TL;DR: In this paper, a study of the linear theory of elasticity in which the potential energy-density depends on the gradient of the strain in addition to the strain was performed, and the relations connecting the stresses in the three forms and the boundary conditions in three forms were derived.