Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
A Theory of Anharmonic Lattice Statics for Analysis of Defective Crystals
Post: #1

In this topic we present a general theory of anharmonic lattice statics for analysis of defective complex lattices. This theory differs from the classical treatments of lattice statics in that it does not rely on knowledge of force constants for a limited number of nearest neighbor interactions. Instead, the only thing needed as input is an interatomic potential that models the interaction of atoms this theory takes into account the fact that close to defects force constants are different from those in the bulk crystal. This formulation of lattice statics reduces the analysis of defective crystals to solving discrete boundary-value problems which consist of system of difference equations with some boundary conditions. To be able to solve the governing equations analytically, the discrete governing equations are linearized about a reference configuration that resembles a nominal defect. Fully nonlinear solutions are obtained by modified Newton-Raphson iterations of the harmonic solutions. In this theory, defective crystals are classified into three groups: defective crystals with 1-D symmetry reduction, defective crystals with 2-D symmetry reduction, and defective crystals with no symmetry reduction. Our theory systematically reduces the discrete governing equations for defective crystals with 1-D and 2-D symmetry reductions to ordinary difference equations and partial difference equations in two independent variables, respectively. Solution techniques for the discrete governing equations are demonstrated through some examples for ferroelectric domain walls. This formulation of lattice statics is very similar to continuum mechanics and we hope that developing this theory would be one step forward for doing lattice scale calculations analytically.

Important Note..!

If you are not satisfied with above reply ,..Please


So that we will collect data for you and will made reply to the request....OR try below "QUICK REPLY" box to add a reply to this page
Popular Searches: bewley lattice diagram pdf ppt docx, transactional analysis theory, bewley lattice diagram, theory profitability, using symmetry in statics pallet puller, theory of relativity seminar topics, ic 7486 theory,

Quick Reply
Type your reply to this message here.

Image Verification
Image Verification
(case insensitive)
Please enter the text within the image on the left in to the text box below. This process is used to prevent automated posts.

Possibly Related Threads...
Thread: Author Replies: Views: Last Post
  Analysis of Magneto-Rheological fluids in automotive usage seminar surveyer 3 1,664 23-09-2015 02:33 PM
Last Post: seminar report asees
Thumbs Up Design, Analysis, Fabrication And Testing Of A Composite Leaf Spring computer science crazy 3 3,134 05-09-2013 11:43 AM
Last Post: computer topic
  Design, Analysis, Fabrication And Testing Of A Composite Leaf Spring computer science crazy 6 9,558 06-04-2013 10:01 AM
Last Post: computer topic
Last Post: seminar details
  CFD analysis of a simple convergent flow using ANSYS FLOTRAN 10.0 Computer Science Clay 1 2,175 02-11-2012 05:44 PM
Last Post: Dinesh_Dhande
  Numerical Analysis Of Magnetorheological Fluid Damper Using FEM full report project report tiger 2 4,283 12-10-2012 12:19 PM
Last Post: seminar details
  STRATIFIED CHARGE G-DI - IN-CYLINDER CFD ANALYSIS computer girl 0 622 06-06-2012 01:40 PM
Last Post: computer girl
  FEA-FINITE ELEMENT ANALYSIS full report. seminar surveyer 1 2,381 06-03-2012 12:00 PM
Last Post: vijay bhaskar reddy
Music Design, Analysis, Fabrication And Testing Of A Composite Leaf Spring Computer Science Clay 2 1,717 25-01-2012 09:46 AM
Last Post: seminar addict
  design analysis fabrication and testing of composite leaf spring seminar report mechanical engineering 3 10,046 15-09-2011 09:16 AM
Last Post: seminar addict