Online Course on Continuum Mechanics

This course was born with the vocation of being a tool for the training of engineers in continuum mechanics. In fact, it is the fruit of the experience in teaching this discipline during many years at the Civil Engineering School of the Technical University of Catalonia (UPC/BarcelonaTech), both in undergraduate degrees (Civil Engineering and Geological Engineering) and postgraduate degrees (Master and PhD courses). Unlike other introductory texts to the mechanics of continuous media, the work presented here is specifically aimed at engineering students. We try to maintain a proper balance between the rigor of the mathematical formulation used and the clarity of the physical principles addressed, although always putting the former at the service of the latter.

Continuum Mechanics - Ch 1 - Lecture 7 - Time Derivatives (part 2)

Continuum Mechanics - Ch 2 - Lecture 10 - Polar Decomposition

Continuum Mechanics - Ch 1 - Lecture 2 - Equations of Motion

Continuum Mechanics - Ch 2 - Lecture 2 - Deformation Gradient Tensor

Continuum Mechanics - Ch 2 - Lecture 9 - Physical interpretation of the Strain Tensors

Continuum Mechanics - Ch 1 - Lecture 4 - Descriptions of Motion

Continuum Mechanics - Ch 1 - Lecture 5 - Descriptions of Motion: Example

Механика сплошной среды - Глава 1 - Лекция 8 - Производные по времени: пример

Continuum Mechanics - Ch 2 - Lecture 7 - Variation of Angles

Continuum Mechanics - Ch 2 - Lecture 1 - Introduction

Continuum Mechanics - Ch 1 - Lecture 3 - Equations of Motion: Example

Continuum Mechanics – Ch2 - Lecture 3 – Deformation Gradient Tensor: Example

Continuum Mechanics - Ch 1 - Lecture 12 - Control and Material Surfaces

Continuum Mechanics - Ch 1 - Lecture 11 - Trajectories and Steamlines

Continuum Mechanics - Ch 1 - Lecture 9 - Velocity and Acceleration

Continuum Mechanics - Ch 1 - Lecture 10 - Stationarity and Uniformity

Continuum Mechanics - Ch 2 - Lecture 8 - Physical interpretation of the Strain Tensors

Механика сплошной среды - Глава 1 - Лекция 6 - Производные по времени (часть 1)

Continuum Mechanics - Ch 2 - Lecture 4 - Displacements

Continuum Mechanics - Ch 2 - Lecture 5 - Strain Tensors

Continuum Mechanics - Ch1 - Lecture 1 - Introduction

Continuum Mechanics - Ch 3 - Lecture 3 - Compatibility Equations of a Potential Field

Continuum Mechanics - Ch 2 - Lecture 17 - Material Time Derivative

Continuum Mechanics - Ch 2 - Lecture 13 - Volumetric Strain

Механика сплошной среды - Глава 4 - Лекция 3 - Тензор напряжений (Часть 1)

Continuum Mechanics - Ch 3 - Lecture 2 - Compatibility Conditions

Continuum Mechanics - Ch 4 - Lecture 10 - Mohr’s Circle for a 3D State of Stress

Continuum Mechanics - Ch 4 - Lecture 2 - Cauchy’s Postulates

Continuum Mechanics - Ch 4 - Lecture 8 - Stress Tensors in Different Coordinate Systems

Continuum Mechanics - Ch 2 - Lecture 18 - Other Coordinate Systems