11-EFT.WP.Core.DrawingKinetics v1.0 | Preface

Home ／ Docs-Technical WhitePaper ／ 11-EFT.WP.Core.DrawingKinetics v1.0

Preface

I. Scope and Positioning

• This volume focuses on the core dynamics of filament drawing and tensile processes, spanning geometry and kinematics, conservation of mass and momentum, constitutive relations and tension evolution, metrology and data gauges, and parallel execution with observability integration.
• The goal is to establish reusable gauges and contracts across simulation, experiment, and engineering deployment, so that parameters, datasets, and metrics are alignable, traceable, and reproducible across systems.
• Deliverables include the family of postulates and minimal equations, metrology workflows, data manifests and interface prototypes, plus benchmark cases and quality gates.

II. Audience and Prerequisites

1. Intended readership
   • Engineers and researchers working on materials processing and drawing operations
   • Modeling and simulation engineers (with equal emphasis on continuum media and multithreaded systems)
   • Data metrology and compliant-publication teams
2. Prerequisites
   • 1D reductions of continuum mechanics and basic numerical methods
   • Metrology and uncertainty evaluation, time bases and synchronization
   • Concurrent execution and observability (see Core.Threads)

III. Families of Methods and Objects

• Filament geometry and kinematics are parameterized by the path gamma(ell), with core quantities: lambda(x,t), s(x,t) = ( d/dt ) ( ln( lambda ) ), v(x,t), A(x,t).
• Conserved quantities are expressed via line density and flux: rho_L(x,t) = rho(x,t) * A(x,t), J(x,t) = rho_L(x,t) * v(x,t).
• Tension is unified under T_fil(x,t) for constitutive specification, with an explicit prohibition against confusing it with T_trans.

IV. Unified Numbering and Contracts

1. Reserved numbering ranges
   • Postulates P11-*
   • Minimal equations S12-*
   • Metrology workflows Mx-1*
   • Implementation bindings I10-*
2. Fixed cross-volume citation format
   Use “see companion white paper ‘Energy Threads’ Chapter x S/P/M/I…”, and explicitly tag the referenced gauge and version.

V. Terminology and Symbol Baselines

• Geometry & kinematics: lambda(x,t), s(x,t), v(x,t), A(x,t), path gamma(ell) and measure d ell.
• Conservation & flux: rho(x,t), rho_L(x,t), J(x,t), Q.
• Tension & constitutive: T_fil(x,t), K_el, K_vis.
• Spectra & windows: S_xx(f), U_w, ENBW.
• Time & arrival time: tau_mono, ts, c_ref, n_eff(x,t), T_arr.
• Dimensionless groups: We, De, Re.
• Collision constraints: T_fil denotes tension only; T_trans denotes transmission coefficient only; strictly distinguish n and n_eff.

VI. Key Postulates and Minimal Equations (Preview)

• P11-1 Slenderness and 1D reduction: cross-sectional variation is gradual, radial quantities are higher-order; A(x,t) and lambda(x,t) may be linked by geometric constraints.
• S12-1 Continuity (line-density form): ( d/dt ) rho_L + ( d/dell ) J = 0.
• S12-2 Axial momentum (simplified form): the gradient of tension balances inertia and viscous/frictional terms; gauges and orders of terms are specified by domain in the main text.
• S12-3 Tension constitutive paradigm: T_fil = K_el * ( lambda - 1 ) + K_vis * s + ..., extendable by temperature and rate dependences.

VII. Metrology and Time Bases

1. Clock model: internal computation uses a monotonic base tau_mono; external publication uses ts, mapped by ts = alpha + beta * tau_mono.
2. Two arrival-time conventions (cross-volume unified):
   • T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
   • T_arr = ( ∫ ( n_eff / c_ref ) d ell )
     Compute both in parallel and publish the discrepancy delta_form together with the path manifest.
3. Units and dimensions: enforce check_dim(expr) prior to data-lake ingestion; include normalization error eps_norm and conservation residual eps_mass in the quality gate.

VIII. Data Stance and Manifests

• Adopt schema.core.drawing/v1, making explicit the data objects, units, windowing, and path-gauge fields.
• Audit trail must include: parameter card, operating-condition card, time-base card, and constitutive card; every processing step must be replayable.
• Missingness and quality tags: use explicit masks and segment-level quality.flag, and state the near-independence assumptions and their applicability domain.

IX. Parallel Execution and Observability

• Execution graph G=(V,E), critical path crit(G), and T_make(G) evaluation follow Core.Threads.
• Backpressure and rate-limit gauge bp, SLOs and alert indicators are published under TS.*; cross-thread hb causality must be preserved.
• Implementation bindings in I10-* must declare idempotency domains, replay semantics, and compensating transactions.

X. Quality Gates and Compliance Commitments

1. Minimum quality gates
   • Conservation gate: drift of abs( ∑_V rho_L ) and eps_mass must stay within thresholds
   • Units gate: all check_dim(expr) pass
   • Normalization gate: eps_norm within threshold
   • Synchronization gate: |delta_form| and time-base bias within thresholds
2. Compliance template: reports must include parameter traceability, evidence of simulation–experiment alignment, regression baselines, and impact assessments for changes.

XI. Versioning and Evolution

• Use semantic versioning MAJOR.MINOR.PATCH; breaking interface changes trigger migration guidance at the next MAJOR.
• Change-type labels: ADD, MOD, FIX, PERF, SEC, DOC; include compatibility flags and deprecation timelines.

XII. Reading and Reproduction Path

1. Fast path
   • Study Chapters 2–4 to establish the dynamical equations and constitutive gauges.
   • Complete metrology and calibration per Chapter 8 (Mx-11/12/13).
   • Use the Chapter 12 benchmark cases for comparative experiments and calibration.
   • Ingest and publish per Chapter 9 manifest rules, then execute the Chapter 11 quality gates.
2. Runflow (overview)
   Mx-10 bootstrap -> Mx-11 timebase-geo-cal -> Mx-12 constitutive-fit -> Mx-13 conservation-check -> Mx-14 benchmark-report

XIII. Interface Boundaries with Sibling Volumes

• With Core.Sea and Core.Density: time bases, paths and measures; T_arr and delta_form reporting.
• With Core.Metrology: sensor chains, calibration, spectral metrology, and uncertainty.
• With Core.Threads: concurrency semantics, scheduling, and TS.* observability.
• With Core.Equations, Core.Parameters, Core.Errors, Core.DataSpec: equation library, parameter identification, error budgets, and data/compliance gauges.