Nonlinear variational systems related to contact models with implicit material laws

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-07 DOI:10.1016/j.nonrwa.2025.104600

Andaluzia Matei

引用次数: 0

Abstract

In the present paper we draw attention to a strongly coupled nonlinear system consisting of two variational inequalities. Such a system can arise from weak formulations of contact models with implicit material laws governed by non additively-separable g-bipotentials. A multi-contact model applying to an implicit standard material illustrates the theory. Firstly, we deliver abstract results. Then, we apply the abstract results to the well-posedness of the multi-contact model under consideration.

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具有隐式物质定律的接触模型非线性变分系统

本文讨论了一个由两个变分不等式组成的强耦合非线性系统。这种系统可以从接触模型的弱公式中产生，接触模型具有由不可加性可分离的g双势控制的隐式物质定律。一个适用于隐式标准材料的多接触模型说明了这一理论。首先，我们提供抽象的结果。然后，我们将抽象结果应用于所考虑的多接触模型的适定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.