Peridynamic Multiscale Finite Element Methods
The problem of computing quantumaccurate designscale solutions to mechanics problems is rich with applications and serves as the background to modern multiscale science research. The prob lem can be broken into component problems comprised of communicating across adjacent scales, which when strung together create a pipeline for information to travel from quantum scales to design scales. Traditionally, this involves connections between a) quantum electronic structure calculations and molecular dynamics and between b) molecular dynamics and local partial differ ential equation models at the design scale. The second step, b), is particularly challenging since the appropriate scales of molecular dynamic and local partial differential equation models do not overlap. The peridynamic model for continuum mechanics provides an advantage in this endeavor, as the basic equations of peridynamics are valid at a wide range of scales limiting from the classical partial differential equation models valid at the design scale to the scale of molecular dynamics. In this work we focus on the development of multiscale finite element methods for the peridynamic model, in an effort to create a mathematically consistent channel for microscale information to travel from the upper limits of the molecular dynamics scale to the design scale. In particular, wemore »
 Authors:

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 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 OSTI Identifier:
 1227915
 Report Number(s):
 SAND201510472
614662
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Technical Report
 Research Org:
 Sandia National Laboratories (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
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