Notes Continuum Mechanics - McGill...

86

Transcript of Notes Continuum Mechanics - McGill...

Page 1: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 2: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 3: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 4: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 5: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 6: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 7: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 8: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 9: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 10: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 11: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 12: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 13: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 14: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 15: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 16: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 17: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 18: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 19: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 20: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 21: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 22: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 23: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 24: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 25: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 26: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 27: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 28: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 29: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 30: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 31: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 32: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 33: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 34: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 35: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 36: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 37: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 38: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 39: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 40: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 41: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 42: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 43: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 44: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 45: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 46: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 47: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 48: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 49: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 50: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 51: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 52: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 53: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 54: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 55: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 56: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 57: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 58: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 59: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 60: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 61: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 62: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 63: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 64: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 65: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 66: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 67: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 68: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 69: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 70: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 71: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 72: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 73: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 74: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 75: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 76: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 77: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 78: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 79: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 80: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 81: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 82: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 83: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 84: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 85: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2
Page 86: Notes Continuum Mechanics - McGill Universitysappho.eps.mcgill.ca/.../Notes_Continuum_Mechanics.pdf · Within the continuum wc the the ti of tc of of is of the [NIRODUCTION The 1.2

The Career Continuum

The Career Continuum

Leveraging the Conversation Continuum

Leveraging the Conversation Continuum

Continuum Assistinfo.continuum.net › rs › 011-QRO-092 › images › Continuum... · Continuum Assist is one of five pillars that act as the foundation of the Continuum Platform

Continuum Assistinfo.continuum.net › rs › 011-QRO-092 › images › Continuum... · Continuum Assist is one of five pillars that act as the foundation of the Continuum Platform

CONTINUUM - avalonlibrary.netavalonlibrary.net/Paranet_Continuum_Magazine/Paranet Continuum Magazine... · I , From the Publisher's Desk , Welcome to the premier issue of CONTINUUM,

CONTINUUM - avalonlibrary.netavalonlibrary.net/Paranet_Continuum_Magazine/Paranet Continuum Magazine... · I , From the Publisher's Desk , Welcome to the premier issue of CONTINUUM,

Continuum Problem (2/11)2020/07/23  · A The solution of the Continuum Problem Continuum Problem (2/11) The continuum is either ℵ1 or ℵ2 or very large. Provided that a reasonable,

Continuum Problem (2/11)2020/07/23  · A The solution of the Continuum Problem Continuum Problem (2/11) The continuum is either ℵ1 or ℵ2 or very large. Provided that a reasonable,

INTRODUCTION TO CONTINUUM MECHANICS - Technion · PDF fileINTRODUCTION TO CONTINUUM MECHANICS ... Continuum Mechanics is concerned with the fundamental equations that describe the

INTRODUCTION TO CONTINUUM MECHANICS - Technion · PDF fileINTRODUCTION TO CONTINUUM MECHANICS ... Continuum Mechanics is concerned with the fundamental equations that describe the

The MUPPLE competence continuum

The MUPPLE competence continuum

The Gernsback Continuum

The Gernsback Continuum

Nous sommes le continuum de services We are the continuum of services.

Nous sommes le continuum de services We are the continuum of services.

Inspiring international mindedness through the IB continuum · Inspiring international mindedness through the IB continuum Christine Amiss Head of Continuum Development Robert Harrison

Inspiring international mindedness through the IB continuum · Inspiring international mindedness through the IB continuum Christine Amiss Head of Continuum Development Robert Harrison

MARCH 11, 2011 The Continuum of ASL The Continuum of ASL.

MARCH 11, 2011 The Continuum of ASL The Continuum of ASL.

The Hillslope -Stream Continuum

The Hillslope -Stream Continuum

The Continuum Equations

The Continuum Equations

Continuum Mechanics - University of Bathpeople.bath.ac.uk/abscjkw/LectureNotes/OtherNotes/Continuum... · 1 Continuum Mechanics The magnitude of the vector a is written a. Scalar

Continuum Mechanics - University of Bathpeople.bath.ac.uk/abscjkw/LectureNotes/OtherNotes/Continuum... · 1 Continuum Mechanics The magnitude of the vector a is written a. Scalar

The Mental Health Continuum

The Mental Health Continuum

Probing the Giant Planets - McGill Universitysappho.eps.mcgill.ca/~olivia/666/2009/Guillot-Probing...Probing the Giant Planets that our models of planet formation were not completely

Probing the Giant Planets - McGill Universitysappho.eps.mcgill.ca/~olivia/666/2009/Guillot-Probing...Probing the Giant Planets that our models of planet formation were not completely

Continuum, continuity, continuum actions: reflection on ...

Continuum, continuity, continuum actions: reflection on ...

SCREW PUMPS CONTINUUM / POMPE A VITE CONTINUUM …

SCREW PUMPS CONTINUUM / POMPE A VITE CONTINUUM …

The Political Continuum

The Political Continuum

The Maturity Continuum

The Maturity Continuum