configuration - 2024 ACF Nationals

Question

John Eshelby introduced a type of “force” named for this word, which he contrasted with “standard forces,” in his studies of the evolution of an elastic inclusion. For 10 points each:

[10m] What word also names a space used to plot the generalized coordinates, but [emphasize] not the momenta, of a physical system? This word refers to a particular set of positions of the points in a system.

ANSWER: configuration [or configurational; accept configurational forces or configuration space or configurations]

[10e] Configurational forces can be used to explain the J-integral, which gives the energy released by these things as they expand. “Brittle” examples of these features form without significant plastic deformation beforehand.

ANSWER: fractures [or cracks; accept brittle fractures or brittle cracks; prompt on breaks or similar descriptions]

[10h] The two stress tensors of this name respectively give the stresses in either the deformed or reference configuration with respect to unit areas in the reference configuration.

ANSWER: Piola–Kirchhoff stress tensors [or PK stress tensors; accept PK1 stress tensor or PK2 stress tensor]

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Summary


2024 ACF Nationals	2024-04-21	Y	20	11.00	65%	45%	0%

Data


Brown	McGill	0	10	10
Minnesota A	Chicago C	0	0	0
Columbia A	Claremont Colleges	10	10	20
Columbia B	Michigan	0	10	10
Cornell A	Toronto B	0	10	10
Harvard	Rutgers	0	0	0
Illinois	Ottawa	10	10	20
Indiana	Florida	10	0	10
Toronto A	Kentucky	0	10	10
Minnesota B	Duke	0	0	0
Johns Hopkins	NYU	10	10	20
Berkeley A	North Carolina B	10	0	10
Northwestern	Stanford	0	10	10
Maryland	Penn	0	0	0
Purdue	Truman State	10	10	20
Chicago A	South Carolina	10	0	10
Texas	Cornell B	0	10	10
Yale B	Vanderbilt	0	10	10
North Carolina A	Virginia	10	10	20
WUSTL B	Yale A	10	10	20