Spring 2011 Semester, CRN# 13128
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INSTRUCTOR: | Ronald D. Kriz, 300 Norris Hall, 231-4386 |
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Office Hours | To be announced. Other times
by appointment only; primary contact by email, rkriz@vt.edu, or call 231-4386 the day before or earlier. See instructor for special arrangements. |
Text | Class notes and handouts |
Prerequisite | ESM 5014: Continuum Mechanics |
Letter Grades | A:100-93; A-:92-90 B+:89-87; B:86-83; B-:82-80 C+:79-77 C:76-73 C-:72-70 D+:69-67 D:66-63 D-:62-60 F:59-0 |
Final Exam: 1:05-3:05PM, Wednesday May 11, 2011
Class information on weighting, tests, homework, project, lecture outline, references
Interactive Web-based simulations on topics discussed in class:
Simulations require a Java enabled browser with VRML plugins to vew simulation results.
Information on Java,VRML plugins, and system configuraiton was created by NIST to probe
(http://cic.nist.gov/vrml/vbdetect.html)
and report back current versions of Java and VRML
plugins installed on your operating system. Unfortunately this probe has been discontinued
and you are on your own. When content was moved from the old vt.edu domain to the new
domain (rkriz.net), the Java web forms, that existed in the lower half of the simulation web
page, that was used to submit a simulation, no longer work on the new off-campus domain.
However the VRML-2 files in the "simulation results" links can be viewed using
FreeWRL.
Work in progress: Because of security issues Java was abandon, and other APIs will be used
to construct new NPIB forms that will be used to submit the existing simulations shown below.
(NOTE:
RED links: simulations setup and submitted to the
SV-server which no longer exists after I retired.
GREEN links: Simulations setup on
ESM-server use to be submitted to the
SV-server, so these
GREEN links can only setup and access archived
simulation results, and with FreeWRL you
can view VRML-2 fourth order tensor glyph results.
Topics discussed in class based on results using simulations above:
Envisioning fourth order stiffness tensors, Cijkl, as complex 3D wave surface glyphs can be understood in context of the derivation of Christoffel's equation, see web notes: Introduction on Elastic Anisotropy. The VRML-1 amd VRML-2 file formats used here enables the viewer to interactive with and interpret complex 3D wave surface geometries as a fourth order tensor glyphs. The FreeWRL application is open-source with web-plugins that supports VRML-2 and X3D file formats and works on current OS: Linux, Mac OSX, and Windows. Older versions of FreeWRL before 2009 support VRML-1. Future development of X3D glyphs will require a six month commitment of time.
To foster future content development, as 3D file formats change, the reader can access code either at the SV-server or the ESM-server together with a description on how-to-create 3D wave surface Cijkl-glyphs for different crystal class symmetries.
Envisioning Crystal Classes as 3D Cijkl-glyphs: Geometry defined for Cijkl-glyph.
Isotropic (polycrystalline):
Stainless Steel
Cubic Symmetry:
Aluminum
Hexagonal Symmetry:
Zinc
Transversly Isotropic:
Unidirectional
Graphite/Epoxy (Fiber Volume Fraction 66%)
Tetragonal Symmetry:
Tellurium Dioxide: Surface
"Cross-Overs" defined.
Orthorhombic Symmetry:
Below are web links related to envisioning tensors and their equations:
Envisioning Zeroth Order Tensors:
3D Scalar Gradients and Function Extraction.
Envisioning Second and Fourth Order Tensor Glyphs:
Eigen-value/vector Glyphs.
Envisioning tensors and their invariant equations:
General discussion.
Engineering Science and Mechanics: ESM5344
Any comments and suggestions about the material presented above,
Virginia Tech
September 2016: Retired 2015. Content updated and moved from the old on-campus domain (vt.edu)
to a new off-campus domain (rkriz.net). Simulations allowed on this off-campus server,
but, because of security, NPIB has abandoned Java and new APIs (TBD) will be used to rebuild
NPIB forms that submit simulations. Reconstructing NPIB will take sometime.
January 2011: Virginia Tech policy no longer allowed individual web servers so content was moved to ESM-server where simulations were not allowed
Original January 2009: http://www.sv.vt.edu/classes/ESM5344/ESM5344_kriz_NoteBook/ESM5344_kriz.html
Revised October 2016
please contact Ron Kriz at rkriz@vt.edu
College of Engineering
http://www.esm.rkriz.net/classes/ESM5344/ESM5344_NoteBook/ESM5344_kriz.html
http://www.esm.vt.edu/~rkriz/classes/ESM5344/ESM5344_NoteBook/ESM5344_kriz.html