Assignment Overview:
Assignment 4 is the first assignment in which you will be solving actual problems. It involves confirmation of solutions by the authors by solving the problems in MATLAB. Solve Example Problem 2.5 in Kaw (textbook page 98; page 116 posted pdf Kaw text), and solve Example Problems 2.1 & 2.2 in Gibson (textbook page 58/69; page 89/100 posted pdf Gibson text) . Solve all problems in one m-file (or mlx file), splitting your code into sections for each problem (recall the double per cent sign %% does this in MATLAB). Publish your completed solution file to a pdf file, then upload your script file (your m-file; your mlx file if using live script) AND your published pdf file to this assignment upload link on Canvas. And, of course, please remember to embed your last name in the filenames of any files you upload (my filename for this assignment would be Homen_ME182Assignment04.pdf).
Assignment Details:
Example 2.1 from the Gibson text will help you understand the application of the rule of mixtures used for determining properties of a composite material. The rule of mixtures allows us to “analyze the macromechanical behavior of the composite more conveniently with averaged stresses and strains that are related by “effective moduli” of an equivalent homogeneous material” (paraphrased from Gibson, 2nd edition, page 57).
Example 2.5 from the Kaw text guides you through process of determining the stiffness [C] and compliance [S] matrixes for 3D Hooke’s Law from given properties. Your resulting MATLAB code from this problem can be used as a template for the stiffness and compliance matrixes for future coding of solutions involving other composite materials.
Example 2.2 from the Gibson text involves the use of compliance matrix for 3D Hooke’s Law to determine strains from given properties and stress conditions. You can modify your template code of the stiffness and compliance matrixes from Example 2.5 Kaw for this problem to save time in regenerating code.
Note on the Kaw text:
The Kaw text posted is an early printing of the text. It contains errors that were corrected in later printings; be sure to look through the Kaw errata document posted to correct these errors.
Assignment 4 Partial Solution by Homen:
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