open access publication

Article, 2019

Wedge indentation of single crystalline monazite: A numerical investigation

International Journal of Plasticity, ISSN 0749-6419, 1879-2154, Volume 112, Pages 36-51, 10.1016/j.ijplas.2018.08.005

Contributors

Juul, Kristian J 0000-0002-7108-9706 (Corresponding author) [1] Nellemann, C 0000-0002-9677-1285 [1] Nielsen, Kim Lau 0000-0002-0502-8008 [1] Niordson, Christian Frithiof 0000-0001-6779-8924 [1] Kysar, Jeffrey W 0000-0003-3655-1077 [2]

Affiliations

  1. [1] Technical University of Denmark
  2. [NORA names: DTU Technical University of Denmark; University; Denmark; Europe, EU; Nordic; OECD];
  3. [2] Columbia University
  4. [NORA names: United States; America, North; OECD]

Abstract

A numerical investigation of wedge indentation, with a nearly flat indenter, into a monazite (LaPO4) single crystal is carried out to obtain the asymptotic field solution associated with the moving contact point singularities. The crystal orientation is such that plane strain conditions prevail, under the assumption of small scale yielding, as out-of-plane deformations are eliminated due to out-of-plane mirror symmetry of the crystal, specimen and loading state. The plastic deformation in such a 2D study can be described in terms of effective in-plane slip systems comprised of crystallographic slip systems with equal and opposite out-of-plane deformation and rotation. The numerical simulations are conducted within a framework specialized for self-similar problems and adopts a visco-plastic single crystal material model. The detailed numerical investigation of the monazite single crystal reveals that the effective slip systems lead to a non-symmetric in-plane deformation field, which is consistent with the absence of in-plane mirror symmetries of the crystal. Interestingly, the non-symmetric deformation field results in one contact point singularity travelling at a greater speed than the other. The deformation near the moving contact point singularities are found to be divided into two angular sectors separated by a boundary of glide shear type. The slip rates on the individual systems reveal that one slip system dominates at both contact points, whereas the other slip system shows negligible activity. Thus, only one slip system gives rise to a discontinuity in the slip rate field.

Keywords

LaPO4, absence, activity, angular sector, boundaries, conditions, contact, contact points, crystal, crystal orientation, crystallographic slip systems, deformation, deformation field, discontinuation, effective in-plane slip systems, effective slip systems, field, field solution, flat indenter, framework, in-plane deformation fields, in-plane mirror symmetry, indentation, individual systems, investigation, loading state, material model, mirror symmetry, model, monazite, numerical investigation, numerical simulations, orientation, out-of-plane deformation, out-of-plane mirror symmetry, plane, plane strain conditions, plastic deformation, point, point singularities, problem, rate, rate field, rotation, sector, self-similar problem, shear type, simulation, single crystals, singularity, slip, slip rate, slip systems, solution, specimens, speed, state, strain conditions, study, symmetry, system, type, wedge, wedge indentation

Funders

  • Danish Agency for Science and Higher Education
  • Directorate for Mathematical & Physical Sciences
  • Division of Materials Research

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