概述：

（1）采用八叉樹平衡算法對空間離散，以ABAQUS 為平臺進(jìn)行UEL二次開發(fā)，將比例邊界有限元方法嵌入到ABAQUS中；實現(xiàn)一種基ABAQUS平臺的具有高效計算性能的多面體比例邊界有限單元。

（2）發(fā)展一種耦合方法將SBFEM 與 ABAQUS 自帶的單元庫和非線性模型結(jié)合；該方法兼具比例邊界有限元高精度求解優(yōu)勢和ABAQUS強大的非線性求解能力優(yōu)勢，解決ABAQUS用戶自定義單元無法可視化問題。

（3）建立壩體-地基-庫水動力相互作用模型，將基于SBFEM 的考慮橫縫接觸非線性的混凝土壩模型應(yīng)用到該工程實例；對混凝土壩非線性地震動響應(yīng)特性研究，對壩體關(guān)鍵部位力學(xué)響應(yīng)進(jìn)行評價分析。

Refs： --An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

--Development of ABAQUS UEL/VUEL subroutines for scaled boundary finite element method for general static and dynamic stress analyses

--PSBFEM-abaqus: development of user element subroutine (UEL) for polygonal scaled boundary finite element method in Abaqus

--Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method

--A polygonal scaled boundary finite element method for solving heat conduction problems

--Seismic Analysis of Post-tensioned Gravity Dams using Scaled Boundary Finite Element Method Boundary Finite Element Method

--Implementation of arbitrary polyhedral elements for automatic dynamic analyses of three-dimensional structures --A Novel Solution for Seepage Problems Implemented in the Abaqus UEL Based on the Polygonal Scaled Boundary Finite Element Method

--Seismic analysis of post-tensioned concrete gravity dams using scaled boundary finite elements implemented as ABAQUS UEL

Bgm：江上清風(fēng)游，作者：變奏的夢想，網(wǎng)易云主頁：https://music.163.com/#/artist?id=1085053