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Marcial Gonzalez Marcial Gonzalez, Ph.D.
Associate Professor
School of Mechanical Engineering
Purdue University
West Lafayette, IN 47907

Email: marcial-gonzalez@purdue.edu
ME612 - Continuum Mechanics
Spring 2014. Spring 2015.
Reading
(01) Overview. (02-03) Introduction to vectors and tensors. (04) Curvilinear coordinate systems. (05-06) Kinematics of deformations. (07-09) Conservation and balance laws. (10-11) Thermodynamics. (12) Discontinuity surfaces. (13) Constitutive relations: Coleman-Noll procedure. (14) Constitutive relations: examples. (15-16) Constitutive relations: frame-indifference. (17) Constitutive relations: material symmetry. (18) Constitutive Relations: linearization. (19) Midterm Prep. (20) Guidelines for special project. (21-22) Energy principles and stability. (23) Constitutive relations: plasticity. (#1-#4) Project progress report. (#5) Final project report and presentations.
ME323 - Mechanics of Materials
Fall 2014. Fall 2015. Spring 2016. Fall 2016. Fall 2017. Fall 2018. Spring 2019. Fall 2019, Spring 2020, Fall 2020. Spring 2021.
Reading Reading

Lecture 1 - Class Overview. Review of static equilibrium
Solution videos: Example 1.1; Example 1.2; Example 1.3; Example 1.4
Solution videos: Example 1.5; Example 1.6; Example 1.7

Lecture 2 - Normal stress and strain
Animations and demos: Strains in rods
Solution videos: Example 2.1; Example 2.2; Example 2.3; Example 2.4
Solution videos: Example 2.5; Example 2.7

Lecture 3 - Shear stress and strain
Animations and demos: Strains in rods
Solution videos: Example 3.1; Example 3.2; Example 3.3; Example 3.4
Solution videos: Example 3.5; Example 3.6; Example 4.2
Solution videos: Example 4.3; Example 4.4; Example 4.5

Lecture 4 - Mechanical properties

Lecture 5 - General definitions of stress and strain
Animations and demos: Linear superposition of strains
Animations and demos: Negative Poisson's ratio
Solution videos: Example 5.1; Example 5.2; Example 5.3; Example 5.4
Solution videos: Example 5.5; Example 5.6; Example 5.7
Solution videos: Example 5.8; Example 5.9

Lecture 6 - Axial deformation
Lecture 7 - Axial deformation (cont.)
Lecture 8 - Axial deformation (cont.)
Lecture 9 - Axial deformation (cont.)
Animations and demos: Indeterminate rods
Animations and demos: Thermal strains and stresses
Animations and demos: Indeterminate trusses
Solution videos: Example 6.1; Example 6.2; Example 6.3; Example 6.4
Solution videos: Example 6.5; Example 6.6; Example 6.7; Example 6.8
Solution videos: Example 6.9; Example 6.10; Example 6.11
Solution videos: Example 6.12; Example 7.1; Example 7.2
Solution videos: Example 7.3; Example 7.4; Example 7.5; Example 7.7
Solution videos: Example 7.6

Lecture 10 - Torsion
Lecture 11 - Torsion (cont.)
Lecture 12 - Torsion (cont.)
Animations and demos: Torsion in circular shafts
Solution videos: Example 8.1; Example 8.2; Example 8.3; Example 8.5
Solution videos: Example 8.6; Example 8.7; Example 8.8

Lecture 13 - Equilibrium of beams
Lecture 14 - Equilibrium of beams (cont.)
Solution videos: Example 9.1; Example 9.2; Example 9.3; Example 9.4
Solution videos: Example 9.5; Example 9.6; Example 9.7; Example 9.8
Solution videos: Example 9.9; Example 9.11; Example 9.12
Solution videos: Example 9.13; Example 9.14; Example 9.15

Lecture 15 - Strain and stress in beams
Lecture 16 - Strain and stress in beams (cont.)
Solution videos: Example 10.1; Example 10.2; Example 10.3
Solution videos: Example 10.4; Example 10.5; Example 10.6
Solution videos: Example 10.7; Example 10.8; Example 10.9
Solution videos: Example 10.10; Example 10.11; Example 10.12
Solution videos: Example 10.14; Example 10.15

Lecture 17 - Shear stress in beams
Animations and demos: Shear stress in beams

Lecture 18

Lecture 19 - Deflection of beams
Lecture 20 - Deflection of beams (cont.)
Lecture 21 - Deflection of beams (cont.)
Lecture 22 - Deflection of beams (cont.)
Lecture 23 - Deflection of beams (cont.)

Lecture 25 - Transformation of stress

Lecture 26 - Principal stresses. Maximum shear stress - Mohr's circle

Lecture 27 - Mohr's circle. Absolute maximum shear stress

Lecture 28 - Thin wall pressure vessels

Lecture 29 - Stresses due to combined loads
Lecture 30 - Stresses due to combined loads (cont.)
Lecture 31 - Stresses due to combined loads (cont.)

Lecture 32 - Failure theories
Lecture 33 - Failure theories (cont.)

Lecture 34 - Energy methods
Lecture 35 - Energy methods (cont.)
Lecture 36 - Energy methods (cont.)

Lecture 37 - Introduction to finite element methods
Lecture 38 - Introduction to finite element methods (cont.)
Lecture 39 - Introduction to finite element methods (cont.)

Lecture 40 - Buckling of columns
Lecture 41 - Buckling of columns (cont.)


(x) Finding Mechanics of Materials in your daily life: an optional fun activity!
This is where everything started
Mechanics of Materials (c.1995)
University of Buenos Aires
ME323 - Mechanics of Materials Laboratory
Spring 2018. (Summer 2018). Fall 2018. Spring 2019. (Summer 2019). Fall 2019. Spring 2020. Fall 2020. Spring 2021
Reading Reading
(1) Tensile and Poisson's ratio tests.

(2) Photo-elasticity test.

(3) Torsion test.

(4) Three-point bending test.

(5) Combined loading test.

(6) Column buckling test.
Reading
ME263 - Introduction to Mechanical Engineering Design, Innovation and Entrepreneurship
Spring 2017.
Mechanical Vibrations
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