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Analysis and Design of Composite Structures ... - UC Davis

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<strong>Analysis</strong> <strong>and</strong> <strong>Design</strong> <strong>of</strong> <strong>Composite</strong> <strong>Structures</strong>/<br />

Mechanics <strong>of</strong> <strong>Composite</strong> Materials<br />

MAE 237<br />

Syllabus<br />

Class schedule<br />

Mondays <strong>and</strong> Wednesdays, 2:10-4 pm, 1070 Bainer<br />

Prerequisites<br />

Good knowledge <strong>of</strong> linear algebra <strong>and</strong> mechanics <strong>of</strong> materials.<br />

Goals<br />

Upon completion <strong>of</strong> this course, students will be able to analyze <strong>and</strong> design multilayered structures made<br />

with composite materials.<br />

Instructor<br />

Dr. Valeria La Saponara Office: Bainer 2100<br />

Email: vlasaponara@ucdavis.edu Phone: (530)-754-8938<br />

Office hours: Mondays <strong>and</strong> Wednesdays 10:45 am-11:45 am, or by appointment.<br />

Course web site<br />

http://mae.ucdavis.edu/vlasaponara/mae237.html<br />

The course web site contains syllabus, announcements, homework, solutions to homework <strong>and</strong> past<br />

exams. Most documents will be in .pdf format.<br />

Students are required to check their <strong>UC</strong> <strong>Davis</strong>/LLNL/S<strong>and</strong>ia email account <strong>and</strong> the course web site<br />

throughout the quarter.<br />

There is a mailing list, mae237-s10@ucdavis.edu, accessible only to people registered in this course.<br />

The email is archived, <strong>and</strong> access to the archive requires <strong>UC</strong> <strong>Davis</strong> login.<br />

Textbook<br />

Mechanics <strong>of</strong> Fibrous <strong>Composite</strong>s (Hardcover, 1997), Author: Carl T. Herakovich, ISBN: 0471106364<br />

Additional notes will be either distributed as photocopies, or posted as .pdf files on the mailing list/course<br />

web site.<br />

Other References<br />

(photocopies or .pdf files will be available as needed)<br />

Introduction to <strong>Design</strong> <strong>and</strong> <strong>Analysis</strong> with Advanced <strong>Composite</strong> Materials, by S. R. Swanson, Prentice-<br />

Hall, 1997<br />

Stress <strong>Analysis</strong> <strong>of</strong> Fiber-Reinforced <strong>Composite</strong> Materials, by M. W. Hyer, McGraw-Hill, 1997<br />

Principles <strong>of</strong> <strong>Composite</strong> Material Mechanics, by R. F. Gibson, 2 nd edition, CRC Press, 2007<br />

Homework<br />

The <strong>UC</strong> <strong>Davis</strong> Code <strong>of</strong> Academic Conduct applies to this course, http://sja.ucdavis.edu/cac.html .<br />

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Students are encouraged to discuss with each other about the homework, but the final product needs to be<br />

only the work <strong>of</strong> the person who has the name on it. Copy-<strong>and</strong>-paste <strong>and</strong> plagiarism will not be<br />

tolerated.<br />

Late homework will not be accepted, unless there is a documented emergency, discussed with the<br />

instructor before the deadline.<br />

Homework in electronic form will only be accepted if sent from virus-free <strong>UC</strong> <strong>Davis</strong> or LLNL/S<strong>and</strong>ia<br />

accounts. The size <strong>of</strong> the overall attachments must be less than 5 MB. At (electronic) submission, you<br />

need to carbon-copy yourself.<br />

Homework codes<br />

Homework needs to be submitted as one single document, in Word or .pdf format. The only exception<br />

to the one-file policy is for Excel spreadsheets, which must be e-mailed separately. Source codes must be<br />

included in the document itself, with the exception <strong>of</strong> Excel spreadsheets, as discussed above.<br />

Acceptable ‘languages’ are MATLAB, FORTRAN <strong>and</strong> R. Source codes must be commented <strong>and</strong> include<br />

units for input <strong>and</strong> output.<br />

Academic holidays<br />

Monday May 31 st , Memorial Day<br />

Grading, exams<br />

The final grade for the course will be based on the following:<br />

Homework 20%<br />

Midterm exam on (tentative) Wednesday May 12 th , 2:10-4 pm 40%<br />

Final exam on Monday June 7 th , 3:30-5:30 pm 40%<br />

Total 100%<br />

The exams will be open notes/open books. Make-up exams will only be given for documented<br />

emergencies.<br />

Course topics<br />

1.Advanced <strong>Composite</strong> Materials <strong>and</strong> their Applications<br />

Introduction<br />

Fibers<br />

Matrix materials<br />

Material forms <strong>and</strong> fabrication methods<br />

Current applications<br />

2.Concepts <strong>of</strong> solid mechanics<br />

Tensors<br />

Stress <strong>and</strong> strain<br />

Plane stress <strong>and</strong> plane strain<br />

Strain energy density<br />

Generalized Hooke's Law<br />

Material symmetry<br />

Engineering constants<br />

2


Coordinate transformations<br />

Thermal effects<br />

Moisture effects<br />

Chemical aging, flammability<br />

3.Concepts <strong>of</strong> Micromechanics<br />

Effective properties<br />

Survey <strong>and</strong> model comparison from strength <strong>of</strong> materials approximations, continuum mechanics<br />

approaches<br />

4.Stress-strain relationship for an orthotropic lamina<br />

Orthotropic properties in plane stress<br />

5.Laminate analysis<br />

Deformation due to extension/shear <strong>and</strong> bending/torsion<br />

A, B, D matrices<br />

Hygrothermal behavior<br />

Special laminates<br />

Average stress-strain properties<br />

6.Concepts <strong>of</strong> failure <strong>of</strong> laminates<br />

Tensile failure <strong>of</strong> fiber composites<br />

Compressive failure <strong>of</strong> fiber composites<br />

Effect <strong>of</strong> multiaxial stresses (failure criteria by Tsai-Wu, Hashin, etc.)<br />

Edge effects<br />

7. Laminated beams <strong>and</strong> shafts<br />

Effective stiffness <strong>of</strong> beams<br />

Effective stiffness <strong>of</strong> shafts<br />

Classroom Etiquette<br />

This section has been prepared using the material available on the web site <strong>of</strong> <strong>UC</strong> <strong>Davis</strong> Student Judicial<br />

Affairs, www. sja.ucdavis.edu/<br />

The following expectations are to enhance the students’ ability to learn in this class, to avoid disruptions<br />

<strong>and</strong> distractions, <strong>and</strong> to improve the quality <strong>of</strong> the classroom experience. Repeated failure to meet these<br />

expectations may result in a lower grade for the course. Student Judicial Affairs gives the instructor the<br />

authority <strong>and</strong> discretion to set rules that foster student learning, <strong>and</strong> to determine what constitutes<br />

disruptive behavior.<br />

Quoted from www. sja.ucdavis.edu:<br />

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(end quote)<br />

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