• 书名：Concise Engineering Elastic Mechanics and Finite Element Analysis

• 丛书名：普通高等教育“十四五”规划教材

• ISBN：978-7-5240-0416-5

• 出版社：冶金工业出版社有限公司

• 定价：49

• 作者：周喻,邹世卓,王莉

• 出版时间：2025-11-28

内容简介

本书结合采矿工程专业的特点，较为全面地介绍了弹性力学和有限元的基本概念、 理论及其在采矿工程问题求解中的基本应用等相关知识。本书力求突出简明扼要、 便于自学和工程实用的特点，使读者集中精力学好采矿工程所需的弹性力学和有限元 ANSYS软件的基本知识。全书内容分为两部分，第一部分为弹性力学，第二部分为 ANSYS有限元分析，书中知识点后附有典型例题，便于读者学习理解；每章后均附有习题，便于读者巩固所学知识。

本书可作为高等院校采矿工程专业教材，也可供土木工程、 水利工程等专业的科技工作者参考使用。

编辑推荐

本书的内容将为“弹性力学基础与数值模拟”课程建设的推进提供支持，力求为该课程的精品化建设提供理论与实践相结合的教材资源，助力课程的国际化发展。本书还将帮助学生提高其专业英语能力和国际学术交流能力，推动采矿工程专业人才培养的国际化进程，培养具备全球视野的高素质工程技术人才。

目录

Chapter 1: Introduction

1.1 Overview of Elastic Mechanics

1.2 Basic Assumptions in Elastic Mechanics

1.3 Core Concepts of Elastic Mechanics

1.4 Historical Development of Elastic Mechanics

1.5 Applications and Objectives of Elastic Mechanics

1.6 Exercises

Chapter 2: Fundamental Theory of Plane Problems

2.1 Plane Stress and Plane Strain Problems

2.1.1 Plane Stress Problem

2.1.2 Plane Strain Problem

2.2 Equilibrium Differential Equations

2.3 Stress State at a Point in Plane Stress Problems

2.3.1 Normal and Shear Stresses on an Arbitrary Oblique Plane

2.3.2 Determination of Principal Stresses and Stress Orientations

2.3.3 Maximum and Minimum Stresses

2.4 Geometrical Equations and Rigid Body Displacements

2.5 Strain and Displacement in Oblique Directions

2.5.1 Calculation of Strain in Oblique Directions

2.5.2 Calculation of Displacement in Oblique Directions

2.6 Constitutive Equations

2.7 Boundary Conditions

2.8 Saint-Venant's Principle

2.9 Solving Plane Problems Using Displacements

2.10 Solving Plane Problems Using Stresses

2.11 Simplifications for Uniform Load Conditions

2.12 Stress Functions, Inverse Solution Method, and Semi-Inverse Solution Method

2.12.1 Stress Function

2.12.2 Inverse Solution Method

2.12.3 Semi-Inverse Solution Method

2.13 Exercises

Chapter 3: Solutions to Plane Problems in Rectangular Coordinates

3.1 Polynomial Solutions

3.2 Calculation of Displacement Components

3.3 Simply Supported Beam Under Uniform Load

3.4 Wedge-Shaped Body Under Gravity and Fluid Pressure

3.4.1 Wedge-Shaped Body Under Gravity

3.4.2 Wedge-Shaped Body Under Fluid Pressure

3.5 Exercises

Chapter 4: Solutions to Plane Problems in Polar Coordinates

4.1 Equilibrium Differential Equations in Polar Coordinates

4.2 Geometric and Constitutive Equations in Polar Coordinates

4.2.1 Geometric Equations

4.2.2Constitutive Equations

4.3 Stress Function and Compatibility Equations in Polar Coordinates

4.3.1 Stress Function

4.3.2 Compatibility Equations

4.4 Coordinate Transformation Formulas for Stress Components

4.5 Axisymmetric Stress and Corresponding Displacements

4.5.1 General Solution for Axisymmetric Stress

4.5.2 Deformation and Displacement Corresponding to Axisymmetric Stress

4.6 Uniform Pressure on Annular and Cylindrical Bodies

4.6.1 Uniform Pressure on Annular or Cylindrical Bodies

4.6.2 Pressure in a Tunnel

4.7 Stress Concentration at a Hole's Edge

4.8 Exercises

Chapter 5: ANSYS Finite Element Analysis

5.1 Introduction to Computer-aided Analysis

5.2 Introduction to the Finite Element Method

5.3 ANSYS Software Architecture

5.4 Numerical simulation solution for purely curved beams

5.5 Simulation of Cantilever Beams Subjected to Pure Bending Moments

5.6 Exercises