2.5 KiB
Interesting but old
Context
Virtual displacement dynamics
online ref Virtual_Displacements_Dynamics.pdf
Classical, Refined, Zig-Zag, Layer-Wise Models and Best Theory Diagrams for Laminated Structures
2023 online ref Mathematical_Methods_and_Models_in_Composites.pdf
Rheology
2022 Rheology.pdf
Continuum mechanics is a foundation of rheology
The characteristic size of the molecule is 1 nm, so one may neglect the molecular structure only when dealing with sizes of the order of at least 10 nm. Thus the physical "point" is a volume of 10^3 nm^3.
Stress tensor can be divided between the hydrostatic part (known as spherical), responsible for volume changes, and the part (know as deviatoric) responsible for shape changes.
Heterogeneous displacement field -> relative displacements -> deformations
Same as the Stress tensor, the deformation tensor can be divided between the spherical part (volume changes), and the deviatoric part (shape changes)
viscoelasticity
Two basic models Newton law of liquids :
\dot{\gamma}=\frac{\sigma}{\eta}Hooke's law of solids :
\varepsilon=\frac{\sigma_E}{E}where \varepsilon - deformation, \dot{\gamma} - rate of shear deformation, \sigma - shear stress, \sigma_E - tensile stress, E - elastic (or Young's) modulus, \eta - viscosity
Full paper not found
Topology optimization of viscoelastic damping layer in sandwich panels
2024 online ref not found
Dynamic properties of composite plates with embedded viscoelastic membranes
2022 online ref not found
Bonus
Analysis of Intact/Delaminated Composite and Sandwich Beams Using a Higher-Order Modeling Technique
Classical, Refined, Zig-Zag, Layer-Wise Models and Best Theory Diagrams for Laminated Structures