Prereguisites for the Course. Mechanics of Materials. Mechanical behavior of materials and analysis of stressand deformation in engineering structures andcontinuous media. Topics include concepts of stress and strain; the elastic.plastic, and time dependent response of materials:principles of structural analysis and application tosimple bar structures, beam theory, instability andbuckling, torsion of shafts; general three-dimensionalstates of stress: Mohr's circle: stress concentrations11
• Mechanics of Materials 11 Prerequisites for the Course • Mechanical behavior of materials and analysis of stress and deformation in engineering structures and continuous media. • Topics include concepts of stress and strain; the elastic, plastic, and time dependent response of materials; principles of structural analysis and application to simple bar structures, beam theory, instability and buckling, torsion of shafts; general three-dimensional states of stress; Mohr's circle; stress concentrations
Prereguisites for the Course. Introduction to Engineering: An introduction to various engineering disciplines.thought processes, and issues Topics include computing in engineering, engineeringdesign, optimization, and estimation.? Case studies in engineering are used to illustrateengineering fields and scientific principles, includingin-depth studies of statics and optics.? Laboratories and design projects are included.12
• Introduction to Engineering 12 Prerequisites for the Course • An introduction to various engineering disciplines, thought processes, and issues • Topics include computing in engineering, engineering design, optimization, and estimation. • Case studies in engineering are used to illustrate engineering fields and scientific principles, including in-depth studies of statics and optics. • Laboratories and design projects are included
Prereguisites for the Course·Applied Mathematics? Mathematical techniques involving differentialequations used in the analysis of physical, biologicaland economic phenomenaEmphasis on the use of established methods, ratherthan rigorous foundations. First and second order differential equations: Applications of linear algebra to systems of equations:numerical methods; nonlinear problems and stability;introduction to partial differential equations; ..13
• Applied Mathematics 13 Prerequisites for the Course • Mathematical techniques involving differential equations used in the analysis of physical, biological and economic phenomena • Emphasis on the use of established methods, rather than rigorous foundations • First and second order differential equations • Applications of linear algebra to systems of equations; numerical methods; nonlinear problems and stability; introduction to partial differential equations;
Prereguisites for the Course研究生力学丛书LectureSeriesonMecsforGraduat高等固体力学（上册）黄克智黄水刚编著前言2005年前后，清华大学工程力学系研究生课程“固体本构关系”更名为“高等固体力学”，扩充了应用性的内容，“高等固体力学”课程主要研究大变形间题，但作为基础，本书上册仍保审了第1章“小变形弹塑性本构关系”因为这是一个力学工作者必须具备的基础知识，如果不掌小变形的理论，那么大变形的理论就无从谈起，研究大变形固体力学，需要两方面的基础（1）张量分析：目前多数教材中用到的张量分析知识还仅限于将张量当作带指标的符号，实际上，张量分析的理论与用途远比指标符号深刻得多，它不仅可以使推导变得十分悔洁，南且还可以清楚增显示出间题本身的物理意义，有时用张量分析方法可以得到一些意想不到的结果，我们可以毫不张地说，不懂得张量分析，要限读和消化现代力学文献是不可能的，清华大学工程力学系每年都为额士生开设“张量分析”学位课"）（2）连续介质力学：包括应力理论、应变理论和本构关系，如果缺少张量分析和连续介质力学的知识，高等固体力学的讲授就不可能达到足够的深一当然，其中只包含一些度，为此，上册增加了录：张量分析（介绍）一最少量的张量分析的必要知识：同时，上册第2章“连续介质力学概述”介绍了研究固体力学所必需的连续介质力学基础知识。14
Prerequisites for the Course 14
Solution Procedure1. Decide on what to calculate2. Identify the geometry of the solid to be modeled3. Determine the loading applied to the solid4. Decide what physics must be included in the model5. Choose (and calibrate) a constitutive law that describesthe behavior of the material.6. Choose a method of analysis7. Solve the problem, analytically, numerically orexperimentally15
1. Decide on what to calculate. 2. Identify the geometry of the solid to be modeled. 3. Determine the loading applied to the solid. 4. Decide what physics must be included in the model. 5. Choose (and calibrate) a constitutive law that describes the behavior of the material. 6. Choose a method of analysis. 7. Solve the problem, analytically, numerically or experimentally. Solution Procedure 15