| کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
|---|---|---|---|---|
| 277095 | 1430201 | 2016 | 6 صفحه PDF | دانلود رایگان |
کلمات کلیدی
1. مقدمه
2- فرم کلی و نمونه ی ساده
3- مدل سازی با مدل N = 1-Ogden
1.3 نسبت پواسون ظاهری و انرژی- کرنشی حجمی
2.3 جنبه های بیشتری از رابطه ی ساختاری
3.3 مختصر مقایسه ای با مدل موجود در منابع
4- مدل سازی با مدل Ogden کامل
5- نتیجه گیری ها
• Hyperelasticity that shows zero apparent Poisson ratio in the whole strain range.
• Ogden type modeling.
• Monotonicity of the stress responses.
• Mooney–Rivlin, neo-Hookean, and Varga’s type specializations.
The idea in this paper is to build a class of constitutive equations for highly compressible isotropic materials that, among others, are capable to describe a zero apparent Poisson’s ratio in the whole finite strain range, not only for moderate straining. This remarkable property is, for instance, observed in many soft materials with micro-structures such as sponges and polymeric foams with high porosities. It would then be suitable to describe their behavior within a macroscopic modeling framework. More specifically, herein by means of elementary considerations, we deduce adequate forms of strain-energy functions that are a priori decomposed into purely volumetric and volume-preserving parts. A class of compressible hyperelastic materials of the general Odgen type is obtained. It can consequently be specialized, for instance, to neo-Hookean, Mooney–Rivlin, and Varga’s model types as well. Furthermore, for the elastic parameters, a connection with the limiting case of linear elasticity is made whenever possible, in particular with the classical Poisson’s ratio, and with the bulk to shear moduli ratio.
Journal: International Journal of Solids and Structures - Volume 91, August 2016, Pages 72–77