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Continuum mechanics print that page

Welcome to this learning project about continuum mechanics ! Contents 1 Introduction 1.1 Project metadata 1.2 Content summary 1.3 Goals 2 Contents 2.1 Syllabus and Learning Materials 2.2 Assignments 2.3 Syllabus and Learning Materials 2.4 Assignments 2.5 Tests and

wikiversity.org | 2018/4/23 10:28:22

Continuum mechanics/Sets print that page

A familiarity with the notation of sets is essential for the student who wants to read modern literature on finite elements. This handout gives you a brief review of set notation. More details can be found in books on advanced calculus. Sets [ edit ] A set is a well-defined collection of

wikiversity.org | 2018/2/21 15:16:43

Physics Formulae/Classical Mechanics Formulae print that page

,\!} Often, masses occur in discrete or continuous distributions. "Discrete mass" and continuum mass" are not different concepts, but the physical situation may demand the calculation either as summation (discrete) or integration (continuous). Centre of mass is not to be confused

wikiversity.org | 2017/5/1 2:48:43

Materials Science and Engineering/List of Topics/Quantum Mechanics/Origins of Quantum Physics print that page

called black-body radiation (or cavity radiation), and has a special place in the history of quantum mechanics . Photoelectric Effect [ edit ] The photoelectric effect is a quantum electronic phenomenon in which electrons are emitted from matter after the absorption of energy from electromagnetic

wikiversity.org | 2018/5/22 20:53:15

Microfluid Mechanics print that page

flow have been discovered and utilized. In this course, we give an theoretical basis of microfluid mechanics and show example studies from the literature and conducted at the institute of fluid mechanics ( LSTM-Erlangen ) at FAU Erlangen-Nuremberg . In the theoretical part, the fluid models

wikiversity.org | 2018/3/24 18:07:28

Continuum mechanics/Matrices print that page

Much of finite elements revolves around forming matrices and solving systems of linear equations using matrices. This learning resource gives you a brief review of matrices. Matrices [ edit ] Suppose that you have a linear system of equations a 11 x 1 + a 12

wikiversity.org | 2018/2/21 0:37:59

Continuum mechanics/Functions print that page

There are certain terms involving relationships between functions that you will often encounter in papers dealing with finite elements and continuum mechanics . We list some of the basic terms that you will see. More details can be found in books on advanced calculus and functional analysis

wikiversity.org | 2018/2/20 23:46:32

Continuum mechanics/Thermoelasticity print that page

A set of constitutive equations is required to close to system of balance laws. These are relations between appropriate kinematic quantities and stress measures that can be assigned a physical meaning. Deformation gradient as the strain measure [ edit ] In thermoelasticity we assume that

wikiversity.org | 2018/2/21 20:00:45

Continuum mechanics/Partial differential equations print that page

some of the classes of PDEs in brief. The contents are based on Partial Differential Equations in Mechanics volumes 1 and 2 by A.P.S. Selvadurai and Nonlinear Finite Elements of Continua and Structures by T. Belytschko, W.K. Liu, and B. Moran. Definition of a PDE [ edit ] A PDE is a relationship

wikiversity.org | 2018/2/21 3:19:11

Continuum mechanics/Stress measures print that page

Three stress measures are widely used in continuum mechanics (particularly in the computational context). These are The Cauchy stress ( σ {\displaystyle {\boldsymbol {\sigma }}} ) or true stress. The Nominal stress ( N {\displaystyle {\boldsymbol {N}}} ) (which is

wikiversity.org | 2018/2/21 18:59:20