Investigating the influence of interface in a three phase composite using variational asymptotic method based homogenization technique

2020 ◽  
Vol 233 ◽  
pp. 111562 ◽  
Author(s):  
Pandi Pitchai ◽  
Harald Berger ◽  
P.J. Guruprasad
Keyword(s):  
Asymptotic Method ◽  
Homogenization Technique ◽  
Three Phase ◽  
Variational Asymptotic ◽  
Variational Asymptotic Method

scholarly journals Geometric Nonlinear Analysis of Composite Stiffened Panels Using Variational Asymptotic Method

AIAA Journal ◽  
2020 ◽  
Vol 58 (9) ◽  
pp. 4189-4203
Author(s):  
K. Jagath Narayana ◽  
Ramesh Gupta Burela ◽  
Sathiskumar Anusuya Ponnusami ◽  
Dineshkumar Harursampath
Keyword(s):  
Nonlinear Analysis ◽  
Asymptotic Method ◽  
Stiffened Panels ◽  
Geometric Nonlinear ◽  
Variational Asymptotic ◽  
Variational Asymptotic Method ◽  
Geometric Nonlinear Analysis

Proper Inclusion of Interiorly Applied Loads With Beam Theory

2012 ◽  
Vol 80 (1) ◽  
Author(s):  
Jimmy C. Ho ◽  
Wenbin Yu ◽  
Dewey H. Hodges
Keyword(s):  
Asymptotic Method ◽  
Beam Theory ◽  
Elliptic Cylinder ◽  
Conventional Approach ◽  
Body Forces ◽  
Variational Asymptotic ◽  
Variational Asymptotic Method ◽  
Elasticity Solutions ◽  
Precise Distribution

An error is introduced by the conventional approach of applying beam theory in the presence of interiorly applied loads. This error arises from neglecting the influence of the precise distribution of surface tractions and body forces on the warping displacements. This paper intends to show that beam theory is capable of accounting for this influence on warping and accomplishes this by the variational asymptotic method. Correlations between elasticity solutions and beam solutions provide not only validations of beam solutions, but also illustrate the resulting errors from the conventional approach. Correlations are provided here for an isotropic parallelepiped undergoing pure extensional deformations and for an isotropic elliptic cylinder undergoing pure torsional deformations.

Prediction of Mechanical Properties of Microcellular Plastics Using the Variational Asymptotic Method for Unit Cell Homogenization (VAMUCH) Method

2013 ◽  
Author(s):  
Emily Yu ◽  
Lih-Sheng Turng
Keyword(s):  
Mechanical Properties ◽  
Asymptotic Method ◽  
Thermoplastic Polyurethane ◽  
Three Dimensional ◽  
Unit Cell ◽  
Element Analysis ◽  
Microcellular Plastics ◽  
Variational Asymptotic ◽  
Variational Asymptotic Method ◽  
Injection Molded

This work presents the application of the micromechanical variational asymptotic method for unit cell homogenization (VAMUCH) with a three-dimensional unit cell (UC) structure and a coupled, macroscale finite element analysis for analyzing and predicting the effective elastic properties of microcellular injection molded plastics. A series of injection molded plastic samples — which included polylactic acid (PLA), polypropylene (PP), polystyrene (PS), and thermoplastic polyurethane (TPU) — with microcellular foamed structures were produced and their mechanical properties were compared with predicted values. The results showed that for most material samples, the numerical prediction was in fairly good agreement with experimental results, which demonstrates the applicability and reliability of VAMUCH in analyzing the mechanical properties of porous materials. The study also found that material characteristics such as brittleness or ductility could influence the predicted results and that the VAMUCH prediction could be improved when the UC structure was more representative of the real composition.

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