62 lines
2.5 KiB
Markdown
62 lines
2.5 KiB
Markdown
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# Interesting but old
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---
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# Context
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## Virtual displacement dynamics
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[online ref](https://people.duke.edu/~hpgavin/StructuralDynamics/VirtualDisplacementsDynamics.pdf)
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[[Virtual_Displacements_Dynamics.pdf|local ref]]
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## Classical, Refined, Zig-Zag, Layer-Wise Models and Best Theory Diagrams for Laminated Structures
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*2023*
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[online ref](https://worldscientific.com/doi/abs/10.1142/9781800611887_0004)
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[[Mathematical_Methods_and_Models_in_Composites.pdf|local ref (pp. 153-208)]]
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## Rheology
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*2022*
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[[Rheology.pdf|local ref]]
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#### Continuum mechanics is a foundation of rheology
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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 $10^3 nm^3$.
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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.
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Heterogeneous displacement field -> relative displacements -> deformations
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Same as the Stress tensor, the deformation tensor can be divided between the spherical part (volume changes), and the deviatoric part (shape changes)
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#### viscoelasticity
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Two basic models
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Newton law of liquids :
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$$\dot{\gamma}=\frac{\sigma}{\eta}$$
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Hooke's law of solids :
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$$\varepsilon=\frac{\sigma_E}{E}$$
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where $\varepsilon$ - deformation, $\dot{\gamma}$ - rate of shear deformation, $\sigma$ - shear stress, $\sigma_E$ - tensile stress, $E$ - elastic (or Young's) modulus, $\eta$ - viscosity
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---
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# Full paper not found
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## Topology optimization of viscoelastic damping layer in sandwich panels
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*2024*
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[online ref](https://www.tandfonline.com/doi/abs/10.1080/15397734.2024.2315168)
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**not found**
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## Dynamic properties of composite plates with embedded viscoelastic membranes
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*2022*
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[online ref](https://www.tandfonline.com/doi/abs/10.1080/15376494.2022.2097355)
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**not found**
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---
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# Bonus
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Analysis of Intact/Delaminated Composite and Sandwich Beams Using a Higher-Order Modeling Technique
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Classical, Refined, Zig-Zag, Layer-Wise Models and Best Theory Diagrams for Laminated Structures
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https://www.semanticscholar.org/paper/Topology-optimization-of-embedded-and-co-cured-Wang-Li/4b99213e5e66a48dd52fb77058aebf34d6023108
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https://www.semanticscholar.org/paper/Dynamic-characteristics-of-carbon-fiber-reinforced-Yang-Zheng/51dcb618cfeae4527b52e97a578428b88fc8c475
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https://www.semanticscholar.org/paper/Structural-dynamic-properties-of-stiffened-plates-Wang-Guo/cbd4d646dc97ec8e4fba405046ee8584ea8d316b
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