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  2. Plane stress - Wikipedia

    en.wikipedia.org/wiki/Plane_stress

    Figure 7.1 Plane stress state in a continuum. In continuum mechanics, a material is said to be under plane stress if the stress vector is zero across a particular plane. When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2 ...

  3. Reissner-Mindlin plate theory - Wikipedia

    en.wikipedia.org/wiki/Reissner-Mindlin_plate_theory

    An additional assumption is that the normal stress through the thickness is ignored; an assumption which is also called the plane stress condition. On the other hand, Reissner's theory assumes that the bending stress is linear while the shear stress is quadratic through the thickness of the plate.

  4. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    This assumption is also called the plane stress assumption. The remaining stress–strain relations for an orthotropic material , in matrix form, can be written as

  5. Contact mechanics - Wikipedia

    en.wikipedia.org/wiki/Contact_mechanics

    Schematic of the loading on a plane by force P at a point (0, 0) A starting point for solving contact problems is to understand the effect of a "point-load" applied to an isotropic, homogeneous, and linear elastic half-plane, shown in the figure to the right. The problem may be either plane stress or plane strain.

  6. Critical plane analysis - Wikipedia

    en.wikipedia.org/wiki/Critical_plane_analysis

    The chief advantage of critical plane analysis over earlier approaches like Sines rule, or like correlation against maximum principal stress or strain energy density, is the ability to account for damage on specific material planes. This means that cases involving multiple out-of-phase load inputs, or crack closure can be treated with high ...

  7. Hill yield criterion - Wikipedia

    en.wikipedia.org/wiki/Hill_yield_criterion

    The quadratic Hill yield criterion for thin rolled plates (plane stress conditions) can be expressed as + (+) (+) + = where the principal stresses , are assumed to be aligned with the axes of anisotropy with in the rolling direction and perpendicular to the rolling direction, =, is the R-value in the rolling direction, and is the R-value perpendicular to the rolling direction.

  8. 15 holiday gifts for dementia patients and caregivers ...

    www.aol.com/15-holiday-gifts-dementia-patients...

    6. Music playlists can be compiled with your loved one’s favorite artists and songs. 7. Comfy, loose-fitting clothing, like sweatsuits, slip-on shirts, night gowns, bathrobes and lace-free shoes ...

  9. Föppl–von Kármán equations - Wikipedia

    en.wikipedia.org/wiki/Föppl–von_Kármán...

    where E is the Young's modulus of the plate material (assumed homogeneous and isotropic), υ is the Poisson's ratio, h is the thickness of the plate, w is the out–of–plane deflection of the plate, P is the external normal force per unit area of the plate, σ αβ is the Cauchy stress tensor, and α, β are indices that take values of 1 and ...