Frictionless Signorini’s Contact Problem for Hyperelastic Materials with Interior Point Optimizer

被引：0
|
作者：
Houssam Houssein
Simon Garnotel
Frédéric Hecht
机构：
[1] Sorbonne Université,Laboratoire Jacques
[2] Airthium SAS,Louis Lions (LJLL)
[3] Accelair,Inria (Alpines), Laboratoire Jacques
[4] Sorbonne Université,Louis Lions (LJLL)
[5] CNRS,undefined
[6] Université de Paris,undefined
来源：
Acta Applicandae Mathematicae | 2023年 / 187卷
关键词：
Contact problems; Interior point method; Interior point optimizer; Signorini;
D O I：
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摘要：
This paper presents a method to solve the mechanical problems undergoing finite deformations and the contact problems without friction, between an hyperelastic body and an obstacle. The main idea is to formulate the contact problem into a constrained minimization one. The constraints are written in a simple form which makes the interior point method very useful to solve the problem. Finally, the FreeFEM and interior Point OPTimizer (IPOPT) software are used to compute and solve the contact problem. Our method is validated against several benchmarks and used on an industrial application example.
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