240-801 Applied Elasticity
The Theory of Elasticity is a model that is used to predict the stresses, strains, and displacements in materials that result under the action of applied forces. The applications of this theory are very extensive, including the analysis and design of structures, tools and machine components, and foundations and soils.
The first several topics of the course is intended to familiarize students with the Theory of Elasticity, with emphasis on the understanding on the notions of stress, strain, and their governing equations – including the assumptions under which the equations are valid. The distinction between a ‘strength of materials’ model and an ‘elasticity’ model will be discussed.
The remaining topics will focus on applying the governing equations of elasticity toward modeling and solving specific problems. Displacement and stress formulations will be presented, and the methods of solving the equations (analytical vs. numerical) will be discussed. Some problems from strength of materials will be solved using elasticity theory, and the results will be compared. Other problems will not have direct analogues to strength of materials, and will be solved by a mixture of analytical and numerical methods.
Professor. Chris Papadopoulos, cpapa@uwm.edu, EMS 939, x3953
Text. Theory of Elasticity for Scientists and Engineers, Teodor M. Atanakovic, Adeshir Guran, Birkhauser, 2000.
Outline of Topics. The following outline follows very closely the chapters of the text.
Homework. Homework will be assigned periodically and is required to be completed by the dates posted. Discussion with other students and the use of reference materials, such as class notes and the text, is recommended and encouraged. However, homework solutions must be submitted individually. Copying answers is not acceptable. As a rule of thumb, do not sign your name to any homework paper that contains information that you do not understand.
In order to develop communications skills, students will periodically be asked to give oral presentations of homework problems and to write careful solutions that will be distributed to the entire class.
Exams. Two or three examinations will be given during the semester. Exams will be in class or take home at the discretion of the instructor, and instructions for taking the exam will be provided. Exams are not scorecards, but are opportunities to learn. Therefore, students will be asked to re-write their incorrect exam problems as homework assignments. A comprehensive final exam will be given.
Grading. Grades will be based on the following scheme:
Homework 30%
Exams 40%
Final Exam 30%
Attendance and Participation. Students are required to attend lecture and to complete all homework assignments and examinations. Accommodations will be granted to students in times of religious observance, medical attention, illness, or emergency. Please notify me in advance of any known scheduling conflict.
Climate and Special Needs. All members of the class – including the instructor - are expected to act with courtesy and respect for all other members, making special effort to accommodate special needs. Please notify me of disabilities, or other special needs that are relevant to your learning and participation in class. Harrassment or discrimination based on race, religion, gender, or sexual orientation will not be tolerated.