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Material Point Method:
Grid Equations
Mass matrix
Lumped mass matrix

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Variational principle
Particle discretization
Grid interpolation

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Quiz: Precipitation Hardening of Aluminum Alloys

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The strength and hardness of some metal alloys may be enhanced by the formation of extremely small
uniformly dispersed particles of a second phase within the original phase matrix; this must be accomplished
by appropriate heat treatment.

Quiz: Mechanical Testing- Tensile Testing

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The mechanical properties of a material are directly related to the response of the material when it's subjected to mechanical stresses. Since characteristic phenomena or behavior occur at discrete engineering stress and strain levels, the basic mechanical properties of a material are found by determining the stresses and corresponding strains for various critical occurrences.

Quiz: Mechanical Testing- Impact & Hardness Testing

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The mechanical properties of materials are ascertained by performing carefully designed laboratory experiments that replicate, as nearly as practical, the service conditions.

The X-Ray diffraction technique is used to determine the crystal structure and interatomic spacing of crystallinesamples through constructive interference of reflected x-ray beams.

Bragg's Law and X-Ray diffraction data, in combination with the expressions for interatomic spacing in terms of the lattice parameter and Miller indices for acrystal, can be utilized to identify crystal structures, determine lattice constants, and locate defects within astructure.