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Finite element analysis of a class of stress-free martensitic microstructures
Author(s):
Bo
Li.
Journal:
Math. Comp.
72
(2003),
1675-1688.
MSC (2000):
Primary 65N30, 74N15
Posted:
April 9, 2003
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Abstract:
This work is concerned with the finite element approximation of a class of stress-free martensitic microstructures modeled by multi-well energy minimization. Finite element energy-minimizing sequences are first constructed to obtain bounds on the minimum energy over all admissible finite element deformations. A series of error estimates are then derived for finite element energy minimizers.
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Additional Information:
Bo
Li
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742
Email:
bli@math.umd.edu
DOI:
10.1090/S0025-5718-03-01512-6
PII:
S 0025-5718(03)01512-6
Keywords:
Martensitic microstructure,
energy minimization,
finite element deformations,
error estimates
Received by editor(s):
July 28, 2000
Received by editor(s) in revised form:
March 15, 2002
Posted:
April 9, 2003
Additional Notes:
This work was partially supported by the NSF through grant DMS-0072958 and by the Graduate School of the University of Maryland through a GRB Summer Research Award.
Copyright of article:
Copyright
2003,
American Mathematical Society
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