The course “Elasticity and finite element” is a compulsory professional basic course for civil engineering majors. The course mainly studies the stress, displacement and deformation of elastic body caused by external force or temperature change. The teaching purpose of this course is to enable students to master the basic concepts, basic principles and basic methods of elastic mechanics and finite element on the basis of theoretical mechanics and material mechanics, and to improve the ability of analysis and calculation. To enable students to master the finite element method and its engineering applicability, and to lay a solid foundation for students to engage in professional technical work and scientific research work related to civil engineering.

Compared with the online elastic mechanics with the same name or similar courses, this course realizes the organic integration of the basic knowledge of elastic mechanics and the finite element method. Finite element technology has increasingly become one of the necessary skills for engineering and technical personnel. Through the study of this course, students can master the basic principles of finite element displacement method and the basic principles and methods of establishing finite element calculation models; be familiar with the characteristics of finite element method and apply finite element method to solve the mechanical problems; master the principles

of displacement mode of an element; Understand the definition of shape function, the nature of shape function, the property of stiffness matrix, the simplification and introduction method of boundary conditions. Teaching in English is conducive to improving students' English level in science and technology, and is also conducive to the international dissemination and promotion of this course.

This course supports the strengths and characteristics of this course by setting up a number of course objectives. The specific objectives of the course are as follows: (1) Through in-class teaching, students can have a preliminary understanding of the basic concepts and methods of abstracting practical engineering problems into mechanical problems, and master the basic assumptions of elastic mechanics, physical force, surface force, stress, strain and displacement. Concept; (2) Through in-class lectures and extracurricular assignments, students can master the characteristics of plane stress and plane strain problems, the basic equations of plane problems, understand the basic ideas and steps of solving plane problems according to stress, boundary conditions and Saint-Venant principle. According to the actual situation of the elastic body, the problem can be simplified to a plane problem, and the boundary conditions can be simplified by applying Saint-Venant's principle, and the ability to understand and solve practical engineering problems can be cultivated through engineering examples; (3) Through in-class teaching and extracurricular assignments, enable students to master the solution method of plane problems in Cartesian coordinate system, master the inverse solution method and semi-inverse solution method; understand the coordinate transformation formula of stress components, master the basic equations of elastic mechanics in polar coordinates; master the basic solutions to axisymmetric problems; (4) through the class lectures, extracurricular assignments and student computer operations enable students to understand the basic principles of finite element method and its application, master the basic equations and calculation steps of finite element method; understand the basic concept of simplifying practical engineering problems into finite element models and solve engineering problems. 

Through teaching in English and extracurricular assignments, the practical complex engineering problems can be simplified into elastic mechanics problems, so that students can initially understand the basic principles and methods of solving practical engineering problems; Deeply understand the basic concepts of body force, surface force, stress, deformation, displacement, etc.; master the characteristics of plane stress and plane strain problems; master the basic equations of plane problems; understand the basic ideas and steps of solving plane problems; master boundary conditions and Saint-Venant's principle, and can apply Saint-Venant's principle to simplify boundary conditions; enable students to master the solution method of plane problems based on inverse solution and semi-inverse solution in Cartesian coordinates and polar coordinates; master the characteristics and solutions of axisymmetric problems and thin plates in bending; the above basic principles and theoretical methods are embodied by solving engineering examples, cultivating students' ability to simplify complex engineering problems into engineering mechanics problems, and deriving corresponding analytical solutions to improve Students' theoretical analysis ability; expand students' international vision through course teaching in English and reading of English monographs. 

Advanced Mathematics, College Physics, Linear Algebra, Theoretical Mechanics, Material Mechanics, Structural Mechanics.

1) S.P. Timoshenke, J.N. Goodale; Translated by Xu Zhilun. Elasticity Theory (3rd Edition) Theory of EIasticity. Higher Education Press, 2013

2) O.C. Zienkiewicz. Finite Element Method (Fifth Edition) Volume 1: Basic Principles; Tsinghua University Press, 2008.

3) Wang Xucheng. Finite Element Method; Tsinghua University Press, 2003.

4) Wang Runfu. Study Guide for Concise Course of Elastic Mechanics. Beijing: Higher Education Press, 2004.