scholarly journals Efficient Teaching Of Elementary Engineering Mechanics Courses

2020 ◽  
Author(s):  
Henry Christiansen ◽  
Steven Benzley ◽  
Spencer Guthrie ◽  
Gaurab Paudel
Keyword(s):  
Elementary Engineering ◽  
Engineering Mechanics

Theory of Boundary Eigensolutions in Engineering Mechanics

2000 ◽  
Vol 68 (1) ◽  
pp. 101-108 ◽  
Author(s):  
A. R. Hadjesfandiari ◽  
G. F. Dargush
Keyword(s):  
Weight Function ◽  
Mixed Boundary ◽  
Traditional Approach ◽  
Mixed Boundary Conditions ◽  
Boundary Element Methods ◽  
Positive Weight ◽  
Nonsmooth Problems ◽  
Integral Equation Methods ◽  
Potential Problems ◽  
Engineering Mechanics

A theory of boundary eigensolutions is presented for boundary value problems in engineering mechanics. While the theory is quite general, the presentation here is restricted to potential problems. Contrary to the traditional approach, the eigenproblem is formed by inserting the eigenparameter, along with a positive weight function, into the boundary condition. The resulting spectra are real and the eigenfunctions are mutually orthogonal on the boundary, thus providing a basis for solutions. The weight function permits effective treatment of nonsmooth problems associated with cracks, notches and mixed boundary conditions. Several ideas related to the convergence characteristics are also introduced. Furthermore, the connection is made to integral equation methods and variational methods. This paves the way toward the development of new computational formulations for finite element and boundary element methods. Two numerical examples are included to illustrate the applicability.

A RATIONALE FOR MODELING SOIL COMPACTION BEHAVIOR: AN ENGINEERING MECHANICS APPROACH

1991 ◽  
Vol 34 (4) ◽  
pp. 1609-1617 ◽  
Author(s):  
R. L. Schafer ◽  
A. C. Bailey ◽  
C. E. Johnson ◽  
R. L. Raper
Keyword(s):  
Soil Compaction ◽  
Compaction Behavior ◽  
Engineering Mechanics
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