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Everything about Material point method

Numerical technique to simulate behavior of continuous substances

The material point method (MPM) is a numerical technique used to simulate the behavior of solids, liquids, gases, and any other continuum material. Especially, it is a robust spatial discretization method for simulating multi-phase (solid-fluid-gas) interactions. In the MPM, a continuum body is described by a number of small Lagrangian elements referred to as 'material points'. These material points are surrounded by a background mesh/grid that is used to calculate terms such as the deformation gradient. Unlike other mesh-based methods like the finite element method, finite volume method or finite difference method, the MPM is not a mesh based method and is instead categorized as a meshless/meshfree or continuum-based particle method, examples of which are smoothed particle hydrodynamics and peridynamics. Despite the presence of a background mesh, the MPM does not encounter the drawbacks of mesh-based methods which makes it a promising and powerful tool in computational mechanics. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Material point methodA 5-minute orientation
  2. Skim a recent paper: Stabilized mixed material point method for incompressible fluid flow analysisInfluential work since 2022
  3. Pick up a classic book: Material Point Method for Geotechnical EngineeringThe most-reprinted book on the subject
  4. Read the landmark paper: A material point method for snow simulationCited 447 times
  5. Go sideways: Meshfree methodsA closely related topic
  6. Go sideways: Momentum mapping formatA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. The algorithm
  2. History of PIC/MPM
  3. Applications of PIC/MPM
  4. Classification of PIC/MPM codes
  5. Advantages
  6. Disadvantages of MPM

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics