Bir Fenomenolojik Yapısal Modelin Kauçuk Tipi Malzemeler İçin Sonlu Elemanlar Yöntemi Uygulaması

Abstract

Bu makalede, kauçuk tipi malzemelerin yapısal olarak modellenmesi için yakın zamanda önerilmiş olan bir fenomenolojik model sürekli ortamlar mekaniği ve kauçuk elastisitesi temellerine dayanarak sonlu elemanlar yöntemi içerisine adapte edilmiştir. Model, ilk önce saf silikon kauçuğun beş farklı yükleme altında gösterdiği hiperelastik davranışlara göre kalibre edilmiştir. Sonrasında modeli sonlu elemanlar yöntemi yazılımına adapte etmek için altprogram yazılmış ve üzerinde delikler olan saf silikon kauçuk levha yazılım içerisinde nümerik olarak modellenmiştir. Meunier ve diğerlerinin (Meunier, Chagnon, Favier, Orgéas, & Vacher, 2008) deneylerde yaptığı gibi kauçuk levha simülasyon içerisinde 57.2 mm dikey deplasmana maruz bırakılmıştır. Yapılan ölçümlerde nümerik modelin ve deneysel verilerin örtüştüğü görülmüştür.

Keywords

• Kauçuk tipi malzemeler
• Hiperelastisite
• SEY uygulamaları
• Yapısal modelleme

A Finite Element Implementation of A Phenomenological Constitutive Model for Rubber-like Materials

Abstract

In this paper, a finite element implementation of a recently proposed phenomenological constitutive model for rubber-like materials is represented based on the fundamentals of continuum mechanics and rubber elasticity. The phenomenological model is first fitted to the hyperelastic behavior of an unfilled silicon rubber subjected to five different uniform deformations. Then, a subroutine is written to import the model into the finite element software and an unfilled silicon rubber sheet is numerically modeled in the commercial finite element software. As performed in the experiments by Meunier et al (Meunier, Chagnon, Favier, Orgéas, & Vacher, 2008)., the rubber sheet is deformed 57.2 mm along the vertical axes in the simulations. Good agreement between the numerical model and experimental data is obtained.

Keywords

• Rubber-like materials
• Constitutive modeling
• Hyperelasticity
• FEM implementation

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