MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE

Karim Trabelsi

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MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE

机译：γ收敛的非线性弹性不可压缩材料膜的建模

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In this paper, we derive nonlinearly elastic membrane plate models for hyperelastic incompressible materials using F-convergence arguments. We obtain an integral representation of the limit two-dimensional internal energy owing to a result of singular functionals relaxation due to Ben Belgacem [6].

机译：在本文中，我们使用F收敛参数导出了超弹性不可压缩材料的非线性弹性膜板模型。由于Ben Belgacem [6]导致的奇异功能松弛，我们获得了极限二维内部能量的积分表示。

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《Analysis and applications》 |2006年第1期|共30页
作者
Karim Trabelsi;
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正文语种 eng
中图分类数学分析;
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Rank-one-convexity; quasiconvexity; immersions; locally injective piecewise linear maps; relaxation;

机译：秩一凸;拟凸;沉浸;局部内射分段线性图;松弛;

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专利

1. MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE [J] . Karim Trabelsi Analysis and applications . 2006,第1期

机译：γ收敛的非线性弹性不可压缩材料膜的建模
2. Enhancement of a meso-scale material model for nonlinear elastic finite element computations of plain-woven fabric membrane structures [J] . Jan Gade, Roman Kemmler, Michael Drass, Engineering Structures . 2018,第Deca15期

机译：平纹织物膜结构非线性弹性有限元计算中尺度材料模型的增强
3. Enhancement of a meso-scale material model for nonlinear elastic finite element computations of plain-woven fabric membrane structures [J] . Jan Gade, Roman Kemmler, Michael Drass, Engineering Structures . 2018,第DECa15期

机译：平纹织物膜结构非线性弹性有限元计算中尺度材料模型的增强
4. Controllability conditions of nonlinearly periodic oscillations of incompressible hyper-elastic spherical shells [C] . Xue-gang Yuan, Zheng-you Zhu, Chang-jun Cheng 第五届国际非线性力学会议论文集 . 2007

机译：不可压缩超弹性球壳非线性周期振动的可控性条件
5. Finite-deformation modeling of elastodynamics and smart materials with nonlinear electro-magneto-elastic coupling. [D] . Lowe, Robert Lindsey. 2015

机译：具有非线性电磁磁耦合的弹性动力学和智能材料的有限变形建模。
6. Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function [O] . Reza Shirazi, Pasquale Vena, Robert L. Sah, -1

机译：使用连续体积分布分布函数将生物组织的胶原纤维网造型为非线性弹性材料
7. Fast simulation of (nearly) incompressible nonlinear elastic material at large strain via adaptive mixed FEM [O] . Balg Martina, Meyer Arnd 2012

机译：自适应混合有限元在大应变下（近）不可压缩非线性弹性材料的快速仿真
8. Nonlinear Waves in a Rod. Results for Incompressible Elastic Materials [R] . Wright, T. W. 1984

机译：杆中的非线性波。不可压缩弹性材料的结果

MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE

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