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Hertz: force and deformation meet over a small elastic contact patch

Contribution grade

Engineering · Engineering

Reference score200,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Hertz solves the local frictionless contact of smooth isotropic elastic solids, obtaining an elliptical pressure patch and nonlinear load-indentation scaling, with a conditional quasi-static collision application.

Scientific scope

Hertz solves the local frictionless contact of smooth isotropic elastic solids, obtaining an elliptical pressure patch and nonlinear load-indentation scaling, with a conditional quasi-static collision application. The contact theory assumes small deformation, elastic materials, smooth local surface geometry and the stated frictionless contact approximation. Adhesion, plasticity, large deformation and arbitrary rough contacts are outside it. Predicted contact shape/pressure depend on material and geometry assumptions; this is not a universal wear law or independently reproduced experiment.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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