MétaCan
Menu
Back to cohort
Record W2043174275 · doi:10.1177/1081286512461928

A general density-preserving remodeling law for isotropic materials

2012· article· en· W2043174275 on OpenAlexaff
Ben Nadler

Bibliographic record

VenueMathematics and Mechanics of Solids · 2012
Typearticle
Languageen
FieldEngineering
TopicElasticity and Material Modeling
Canadian institutionsUniversity of Victoria
Fundersnot available
KeywordsIsotropyDissipationEvolution equationCauchy stress tensorTime evolutionQuadratic equationDeformation (meteorology)Tensor (intrinsic definition)Classical mechanicsMathematicsStress (linguistics)Representation (politics)Mathematical analysisConservation lawStatistical physicsPhysicsGeometryLawThermodynamics

Abstract

fetched live from OpenAlex

The theory of material evolution is specialized to accommodate density-preserving remodeling of isotropic materials. It is assumed that in the pure mechanical case, the rate of evolution depends on the stress, deformation and the evolution. The dissipation inequality and the conservation of density indicate that the driving force for the evolution is the symmetric deviatoric part of the Mandel stress. The isotropic tensor-valued function representation theorem is used to show that there are 18 different admissible evolution modes. Assuming that the dissipation inequality takes a quadratic form, each evolution mode is driven by an associated configurational force. In the proposed evolution model each mode is governed by a single material constant corresponding to viscosity. Moreover, consistent evolution criteria are developed such that evolution arises only if a certain threshold is reached.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: Bench or experimental
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.434
Threshold uncertainty score0.482

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.024
GPT teacher head0.233
Teacher spread0.209 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designBench or experimental
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2012
Admission routes1
Has abstractyes

Explore more

Same venueMathematics and Mechanics of SolidsSame topicElasticity and Material ModelingFrench-language works237,207