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April 28, 2026Nanomanufacturing and Metrology3 citationsOpen Access

Chip Formation Model for Orthogonal Diamond Turning of PMMA Using Coupled Eulerian–Lagrangian Approach

WWWei WangHSHenning SpecketerLLL. Langenhorst

Key Points

  • This research aims to understand the ultraprecision diamond turning of PMMA by modeling its complex mechanical behavior.
  • Developed a quasi-two-dimensional finite element model using a coupled Eulerian–Lagrangian approach in Abaqus/Explicit.
  • Generated a data-driven material model from digitized stress-strain curves to capture PMMA's thermomechanical properties.
  • Compared model predictions for cutting and thrust forces, and chip thickness against experimental data from cutting tests.
  • Model predictions for cutting forces and chip thickness showed strong qualitative agreement with experimental data.
  • The CEL formulation effectively managed large deformations during the cutting process.
  • The validated model serves as a foundation for optimizing diamond turning of amorphous polymers.

Abstract

Abstract Understanding of the ultraprecision diamond turning of polymethyl methacrylate (PMMA) is challenged by its complex strain-rate- and temperature-dependent mechanical behavior. To address this issue, a quasi-two-dimensional finite element method model using a coupled Eulerian–Lagrangian (CEL) approach in Abaqus/Explicit is developed and validated in this work. A key innovation is a pragmatic, data-driven material model generated from a comprehensive library of digitized stress–strain curves, which effectively captures the thermomechanical properties of PMMA without relying on complex constitutive laws. The CEL formulation successfully manages the large material deformation and continuous chip formation inherent to the cutting process. Model predictions for cutting forces (F₂ F c), thrust forces (F₏ F p), and chip thickness (t₂₇₈₏ t chip) are rigorously compared against experimental data from a series of orthogonal cutting tests with varying depths of cut (a₏ a p) and cutting speeds (v₂ v c). The simulation demonstrated strong qualitative agreement with the experimental trends, confirming its ability to capture the underlying process physics and providing a robust, validated foundation for the optimization of the diamond turning process for amorphous polymers in high-precision applications.

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Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/69f04eb8727298f751e72a71https://doi.org/10.1007/s41871-026-00292-1
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