Quartz crystal twinning under mechanical stress: Finite element analysis

Details Quartz crystal twinning under mechanical stress: Finite element analysis Quartz crystal twinning under mechanical stress: Finite element analysis

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992esasp.340..323b&link_type=abstract

In ESA, Frequency and Time Forum p 323-327 (SEE N93-24978 09-70)

Mathematics

Finite Element Method, Quartz Crystals, Stress Analysis, Thermodynamic Properties, Twinning, Elastic Properties, Mathematical Models, Nonlinear Systems, Stress-Strain Relationships, Transient Response

Scientific paper

Some tools to describe the switching process of electrical twinning in various cuts of quartz are proposed. In all cases, the principle of minimal energy, together with a threshold condition is applied to the proper thermodynamic potential to determine which twin will survive the exerted stresses on a quartz sample. An analytical expression useful for samples submitted to a known homogeneous compressive stress is given. For more general stress states, a finite element approach is chosen to study the propagation of the switching process. It is founded upon a bielastic stress-strain relationship introduced into the plasticity model for nonlinear transient analysis in the SYSTUS (trademark) program.

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