On the geometric and material nonlinearity effects of polymeric thin plates or films on structural performance.
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1 On the geometric and material nonlinearity effects of polymeric thin plates or films on structural performance. Kiran V, Asutosh P and Raj C Thiagarajan ATOA Scientific Technologies Pvt Ltd ATOA Scientific Technologies Multiphysics CAE for Innovation TM Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore
2 ATOA CAE Solution Provider CAE (cae.atoa.com) Multiphysics Multimaterial Multiscale 3D Printing (3d.atoa.com) Engineering Apps (apps.atoa.com) Material Unity Vision: To solve complex problem of our clients. 1 st COMSOL Certified Consultant from India. Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01
3 Introduction & Objectives Polymer sheets are widely used for glazing and roofing structural applications. Conventional building materials such as glass and concrete are relative stiffer compared to polymeric materials. Design leveraging geometric and material non-linear effects of polymeric sheets will increase the efficient use of these materials. Stress Small Failure strain ~1% Large Failure strain ~100% Strain Stress Strain Diagram (Conventional Vs Polymer) Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 3
4 Nonlinearity Effects Geometric Nonlinearity. Geometric Nonlinear Load Linear Deflection Material Nonlinearity. Linear Elastic Stress Elasto Plastic Strain Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01
5 Governing Equations The general governing differential equation for an isotropic plate, relating the load, rigidity and deformation. Isotropic plate differential equation including the effect of lateral loads and forces in the middle plane of the plate. COMSOL Nonlinear Structural Mechanics module. t E t D 1 (1 ) Where, E is elastic modulus, t thickness and n is Poisson's ratio. 1 q N D Where 3 E t D 1 (1 ) are midplane force components. ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 x Where x N x, N x y y x, N xy x y x N y N yx, y xy q D x y Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore N y y 5
6 Structural Analysis DoE Geometry Thickness Width Length Aspect Ratio Boundary Conditions Fixed Simply Supported Clamped Nonlinearity effects Analytical Vs. Numerical Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 6
7 Simulation Results Typical Elastoplastic deflection and stress contour plots. Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 7
8 Simulation Results Effect of boundary conditions and aspect ratio on polymeric sheet deflection behavior. Linear Analytical Vs. Numerical Exact Deflection (mm) SS AL SS CL FF AL FF CL Aspect Ratio Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 8
9 Simulation Results Linear (L) Vs Non Linear (NL) Significant Reduction in deflection Deflection (mm) SS AL SS CL SS CNL FF AL FF CL Aspect Ratio FF CNL Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 9
10 Simulation Results Boundary Conditions Fixed (F) Simply supported (SS) Clamped Aspect Ratio effect insignificant (SS >5,FF >) Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 10
11 PLATE CALCULATOR DoE for Geometric + material Nonlinearity + Range of AR, Th, Load, BC. Database of results for smart sheet selection tool. Engineering apps to process complex FEA results for use by Field engineers to enable Design Decision on the Go! Deflection (mm) Aspect Ratio SS AL SS CL SS CNL Clamp FF AL FF CL FF CNL Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 11
12 PLATE CALCULATOR More at apps.atoa.com Excerpt from the Proceedings of the 01 COMSOL Conference in Bangalore ATOA Scientific Technologies Multiphysics CAE for Innovation TM COMSOL Conference 01 1
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