题目：Variational principles of liquid-porous material interactions (LPMI) with applications to approximate solutions and finite element modelling

时间：2023年7月31日 10:00-11:30

地点：j9九游会官方网页版 F310会议室

报告人：邢景棠 教授（南安普顿大学）

邀请人：蒋伟康 教授、吴海军 副教授（振动、冲击、噪声研究所）

Biography

邢景棠，南安普顿大学终身Emeritus教授，中国外专局高端外专，应用力学专家。国际声音与振动研究院会员，中国力学学会、航空学会、振动工程学会会员。

在流固耦合动力学、动力学的变分原理及应用、振动系统的能流分析、复杂耦合系统动力学及振动控制等领域做出了世界认可的重要贡献。

主持并完成包括国家自然科学基金、欧共体及英国皇家基金在内的多项研究项目，成果获得国际学术界的广泛关注和认可，发表论文250篇，其论文《流固耦合力学概述》获得《力学进展》创刊50周年影响力提升优秀贡献奖。

Abstract

This seminar gives the new developed mean to construct FEA model for liquid-porous material interactions (LPMI). Three variational principles are developed in Biot's theory of porous materials in association with Darcy's law. First one takes solid-acceleration, and fluid velocity, acceleration, pressure with time derivative as five variables, while second and third respectively have three and two variables when Darcy's law used as variational constrain reducing variables. These principles provide a means to derive approximate solutions and finite element (FE) models for LPMI. Each LPMI element includes fluid and solid together with no longer necessarily to distinguish fluid domain from solid. Examples illustrate applications to establish FE model for numerical solutions of LPMI. New findings with defined LPMI coupling-factor provide guidelines designing LPMI-system with expected dynamic behaviour meeting engineering requirements.