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U.S. Department of Energy
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Nonlinear Finite Elements [Slides]

Technical Report ·
DOI:https://doi.org/10.2172/1660567· OSTI ID:1660567
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
The presentation begins with why we need nonlinear finite elements: Real systems rarely (if ever) behave in a linear fashion during real deformation (Nonlinear material response (plasticity, nonlinear elasticity, . . . ), Contact, Multi-phase/physics interactions); Our boundary conditions may be nonlinear as well; and, Large deformation/rotation is inherently nonlinear. The remainder of topics include: 1D Motivation; Initial de nitions and background; Balance Equations; Weak form and Galerkin form; Newton-Raphson solution of nonlinear equations; and, Alternatives to Newton-Raphson
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
89233218CNA000001
OSTI ID:
1660567
Report Number(s):
LA-UR--20-27066
Country of Publication:
United States
Language:
English