## Continuum mechanics

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

**wikiversity.org**| 2017/5/9 19:58:29

## Continuum mechanics/Sets

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**| 2017/7/25 21:31:34

## Physics Formulae/Classical Mechanics Formulae

,\!} 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

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**| 2015/7/9 19:43:48

## Microfluid Mechanics

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**| 2017/4/30 0:15:45

## Continuum mechanics/Functions

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**| 2017/7/25 21:30:47

## Continuum mechanics/Matrices

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**| 2017/7/25 21:31:03

## Continuum mechanics/Thermoelasticity

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**| 2017/7/25 21:32:19

## Continuum mechanics/Partial differential equations

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**| 2017/7/25 21:31:26

## Continuum mechanics/Polar decomposition

determinant is positive can be decomposed uniquely into a symmetric part and an orthogonal part. In **continuum mechanics** , the deformation gradient is such a tensor because . Therefore we can write where is an orthogonal tensor ( ) and are symmetric tensors ( and ) called the right

**wikiversity.org**| 2016/4/12 14:03:57