🗊Презентация Robust non-algebraic Reissner-Mindlin plate finite elements

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №1Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №2Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №3Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №4Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №5Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №6Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №7Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №8Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №9Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №10Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №11Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №12Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №13Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №14Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №15Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №16Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №17Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №18Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №19Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №20Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №21

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №1
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №2
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №3
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            S1: Scheme of Selective–Reduced Integration (SR) 
        with decomposition of shear stiffness matrix [ssm]:
           [2x2]b+[1x1+1x1+1x1+2x2]s  for Laplace Operator
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S1: Scheme of Selective–Reduced Integration (SR) with decomposition of shear stiffness matrix [ssm]: [2x2]b+[1x1+1x1+1x1+2x2]s for Laplace Operator

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №5
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: Scheme of Full (Uniform)  Integration (FI):   
[2x2]  for Helmholtz Operator
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: Scheme of Full (Uniform) Integration (FI): [2x2] for Helmholtz Operator

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: Multi-Scale Scheme:   Slow ( w ) & Fast 
Full (Uniform)  Integration (MS): [2x2] 
for Helmholtz Operator
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: Multi-Scale Scheme: Slow ( w ) & Fast Full (Uniform) Integration (MS): [2x2] for Helmholtz Operator

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №8
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №9
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №10
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FEM Stiff Problem of Solid Mechanics : Reissner-Mindlin Thin Plate Bending – Shear Locking Problem & ROBUSTNESS
Square Plate : a x a x h Simply Supported (SS - soft),
loaded at the Center by a concentrated force P












KRM: Constructed Kirchhoff-Reissner-Mindlin FE with
            agreed C0 – deflection  and rotations
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FEM Stiff Problem of Solid Mechanics : Reissner-Mindlin Thin Plate Bending – Shear Locking Problem & ROBUSTNESS Square Plate : a x a x h Simply Supported (SS - soft), loaded at the Center by a concentrated force P KRM: Constructed Kirchhoff-Reissner-Mindlin FE with agreed C0 – deflection and rotations

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          Convergence Improving (Quality Control)
    Nondimensional Deflection at with varying (a/h) ratios
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Convergence Improving (Quality Control) Nondimensional Deflection at with varying (a/h) ratios

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №13
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №14
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Reissner-Mindlin Thin Plate Bending – the case of
 Weak Connected boundaries / Zero Energy Modes
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Reissner-Mindlin Thin Plate Bending – the case of Weak Connected boundaries / Zero Energy Modes

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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №16
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №17
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №18
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №19
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №20
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Robust non-algebraic Reissner-Mindlin plate finite elements, слайд №21
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