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Rodney Hill (* 11. Juni 1921 in Yorkshire; † 2. Februar 2011) war ein britischer Ingenieurwissenschaftler und Angewandter Mathematiker. Hill studierte Mathematik an der University of Cambridge (Gaius and Gonville College).
Rodney Hill FRS (11 June 1921 – 2 February 2011) was an applied mathematician and a former Professor of Mechanics of Solids at Gonville and Caius College, Cambridge.
11. Sept. 2018 · Rodney Hill ( ∗ June 21, 1921, in Stourton near Leeds, Yorkshire, UK; †February 2, 2011, in Cambridge, UK) was an engineer and applied mathematician.
26. Aug. 2015 · Rodney died in Cambridge on 2 February 2011. Rodney Hill was born on 11 June 1921 in Leeds, and educated at Leeds Grammar School. He went up to Cambridge University in October 1939, with a Major Scholarship at Pembroke College.
- Michael J. Sewell
- 2015
- Quadratic Hill Yield Criterion
- Generalized Hill Yield Criterion
- Hill 1993 Yield Criterion
- Extensions of Hill's Yield Criterion
The quadratic Hill yield criterionhas the form 1. F ( σ 22 − σ 33 ) 2 + G ( σ 33 − σ 11 ) 2 + H ( σ 11 − σ 22 ) 2 + 2 L σ 23 2 + 2 M σ 31 2 + 2 N σ 12 2 = 1 . {\displaystyle F(\sigma _{22}-\sigma _{33})^{2}+G(\sigma _{33}-\sigma _{11})^{2}+H(\sigma _{11}-\sigma _{22})^{2}+2L\sigma _{23}^{2}+2M\sigma _{31}^{2}+2N\sigma _{12}^{2}=1~.} Here F, G, H, L...
The generalized Hill yield criterionhas the form 1. F | σ 2 − σ 3 | m + G | σ 3 − σ 1 | m + H | σ 1 − σ 2 | m + L | 2 σ 1 − σ 2 − σ 3 | m + M | 2 σ 2 − σ 3 − σ 1 | m + N | 2 σ 3 − σ 1 − σ 2 | m = σ y m . {\displaystyle {\begin{aligned}F|\sigma _{2}-\sigma _{3}|^{m}&+G|\sigma _{3}-\sigma _{1}|^{m}+H|\sigma _{1}-\sigma _{2}|^{m}+L|2\sigma _{1}-\sigma...
In 1993, Hill proposed another yield criterion for plane stress problems with planar anisotropy. The Hill93 criterion has the form 1. ( σ 1 σ 0 ) 2 + ( σ 2 σ 90 ) 2 + [ ( p + q − c ) − p σ 1 + q σ 2 σ b ] ( σ 1 σ 2 σ 0 σ 90 ) = 1 {\displaystyle \left({\cfrac {\sigma _{1}}{\sigma _{0}}}\right)^{2}+\left({\cfrac {\sigma _{2}}{\sigma _{90}}}\right)^{2...
The original versions of Hill's yield criterion were designed for material that did not have pressure-dependent yield surfaces which are needed to model polymers and foams.
A tribute to Rodney Hill, a renowned British mathematician and Fellow of the Royal Society, who made significant contributions to the Mathematical Theory of Plasticity. The memoir covers his life, education, career, achievements, interests and legacy.
2. Feb. 2011 · Rodney Hill was born on 11 June 1921. He was a Reader, then Professor, in The Department of Applied Mathematics and Theoretical Physics (DAMTP), of The University of Cambridge, during the period 1969-1979. He is widely regarded as among the foremost contributors to the foundations of solid mechanics over the second half of the 20th ...
