论文标题
具有非线性耦合的变异 - 杀菌性不平等系统的存在结果
Existence results for variational-hemivariational inequality systems with nonlinear couplings
论文作者
论文摘要
在本文中，我们研究了一个耦合不平等的系统，该系统包括因差异性不平等和巴拉赫空间上的准杀菌性不平等。该方法是拓扑结构的，在实际反射性Banach空间中，有界和无限制的约束集建立了各种各样的结果。关注的要点是没有线性条件在耦合函数上施加，因此使系统完全非线性。本文的最后一部分提供了接触力学的申请。更确切地说，我们考虑了与（可能）多价本构法的接触模型，该定律会导致不平等的耦合系统。通过采用上一节中获得的理论结果证明了问题的较弱性。我们方法的新颖性来自我们考虑两个潜在接触区的事实，而变化的配方使我们能够同时确定位移场和Cauchy应力张量。
In this paper we investigate a system of coupled inequalities consisting of a variational-hemivariational inequality and a quasi-hemivariational inequality on Banach spaces. The approach is topological, and a wide variety of existence results is established for both bounded and unbounded constraint sets in real reflexive Banach spaces. The main point of interest is that no linearity condition is imposed on the coupling functional, therefore making the system fully nonlinear. Applications to Contact Mechanics are provided in the last section of the paper. More precisely, we consider a contact model with (possibly) multivalued constitutive law whose variational formulation leads to a coupled system of inequalities. The weak solvability of the problem is proved via employing the theoretical results obtained in the previous section. The novelty of our approach comes from the fact that we consider two potential contact zones and the variational formulation allows us to determine simultaneously the displacement field and the Cauchy stress tensor.
