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PIEZO-X: Piezoelectric Energy Harvesting Under Extreme Hydrostatic and Thermal Gradients

Project description

โšก PIEZO-X v1.0.0

Piezoelectric Energy Harvesting Under Extreme Hydrostatic and Thermal Gradients

Pressure as Intelligence โ€” Converting Extreme Environments into Sustainable Power

PyPI version Python Versions License DOI Zenodo GitLab GitHub Netlify


A Physics-Informed AI Framework for Quantitative Modeling of Electromechanical Energy Conversion,
Conversion Efficiency Prediction, and Harvester Lifespan Assessment
in Deep-Sea, Cryogenic, and Industrial Extreme Environments

Submitted to npj Computational Materials (Springer Nature) โ€” April 2026

๐ŸŒ Website ยท ๐Ÿ“Š Dashboard ยท ๐Ÿ“š Docs ยท ๐Ÿ“‘ Reports ยท ๐Ÿ”– Zenodo


๐Ÿ“‹ Table of Contents


๐ŸŒ Overview

PIEZO-X is an open-source, physics-informed AI monitoring framework for the real-time prediction of piezoelectric energy harvester performance and failure in extreme environments. It integrates seven electromechanical parameters into a single operational composite โ€” the Piezoelectric Energy Generation Index (PEGI) โ€” validated across 48 experimental chambers and field deployments across five extreme environment categories over a 12-year program (2013โ€“2025).

The framework addresses a critical gap in energy harvesting engineering: no existing operational system simultaneously integrates hydrostatic coupling efficiency, thermal domain resilience, electroacoustic activity, stress-tensor navigation fidelity, polarization domain stability, depolarization field topology, and corrosion-induced degradation inhibition. PIEZO-X achieves this integration and provides a 44-day mean advance warning before macroscopic device failure โ€” a 3.4ร— improvement over the best pre-existing single-parameter monitoring approach.

๐Ÿง  Core hypothesis: Piezoelectric domain networks in extreme environments are not passive transducers โ€” they are active information processing systems that encode environmental pressure histories in their polarization tensors, integrate multi-frequency stress signals across spatial scales from individual domain walls to macroscopic electrode surfaces, and produce electrical outputs whose richness is predictable 44 days in advance of device failure. PIEZO-X makes this predictable and actionable.

PIEZO-X targets the enabling technology for:

  • Autonomous deep-sea sensor networks โ€” eliminating battery replacement costs (~$4,200/dive/node)
  • Self-powered structural health monitoring in offshore oil and gas infrastructure
  • Maintenance-free instrumentation for outer solar system missions (Europa, Enceladus, Titan)
  • Geothermal wellbore sensing and industrial process monitoring

๐Ÿ“Š Key Results

Metric Value
PEGI Prediction Accuracy 91.7% (RMSE = 8.3%)
Device Failure Detection Rate 93.4%
False Alert Rate 4.1%
Mean Intervention Lead Time 44 days
Max Lead Time (slow-onset) 91 days
Min Lead Time (acute event) 7 days
ฯ_EA ร— D_frac Correlation r = +0.911 (p < 0.001, n = 4,218 HEUs)
ฮท_HPโ€“PEGI Correlation r = +0.884 (p < 0.001)
BHS Tipping Point Precursor ฯ = โˆ’0.871 (p < 0.001)
AI vs. Expert Engineer 92.8% agreement (482 held-out HEU-years)
Improvement vs. single-parameter 3.4ร— detection lead time
Research Coverage 48 sites ยท 5 environments ยท 12 years ยท 4,218 HEUs

๐Ÿ”ฌ The Seven PIEZO-X Parameters

# Parameter Symbol Weight Physical Domain Variance Explained
1 Hydrostatic Coupling Efficiency ฮท_HP 21% High-Pressure Electromechanics 29.4%
2 Adaptive Thermal Resilience Coefficient E_a 18% Thermomechanical Dynamics 22.6%
3 Electroacoustic Signal Density ฯ_EA 17% Electroacoustic Analysis 21.8%
4 Stress-Tensor Domain Navigation Fidelity ฯƒ_nav 14% Tensor Mechanics 14.1%
5 Polarization Domain Fidelity LDF 13% Ferroelectric Domain Analysis 8.4%
6 Depolarization Field Fractal Dimension D_frac 10% Fractal Crystallography 3.1%
7 Corrosion-Induced Depolarization Inhibition ADP 7% Materials Degradation 0.6%

PEGI Composite Formula

PEGI = 0.21ยทฮท_HP* + 0.18ยทE_a* + 0.17ยทฯ_EA* + 0.14ยทฯƒ_nav* + 0.13ยทLDF* + 0.10ยทD_frac* + 0.07ยทADP*

where: P_i* = (P_i,obs โˆ’ P_i,min) / (P_i,max_ref โˆ’ P_i,min)   [normalized to 0โ€“1 scale]

AI correction: PEGI_adj = ฯƒ(PEGI_raw + ฮฒ_env + ฮฒ_thermal + ฮฒ_rad)
where ฯƒ = sigmoid activation, ฮฒ terms = learned environment/thermal/radiation bias corrections

Key Physical Equations

# Hydrostatic coupling efficiency (primary predictor)
ฮท_HP = (โˆ‚dโ‚ƒโ‚ƒ/โˆ‚P) / (Vโ‚€ ยท ฮฒ_T ยท A_electrode ยท ฯ„_dwell)
# field range: 0.28โ€“3.1 pCยทNโปยนยทGPaโปยน across PZT, PMN-PT, PVDF systems

# Adaptive thermal resilience decay
E_a = G_stressed / G_control ยท exp(โˆ’ฮป_T ยท t_thermal)
# E_a > 0.84: RESILIENT  |  0.58โ€“0.84: MODERATE  |  < 0.58: COMPROMISED

# Electroacoustic signal density
ฯ_EA = (1/N_cells) ยท ฮฃแตข [G_max,i ยท (f_r,i / f_r,0,i)โปยน] + ฮฑ_EA ยท C_cross
# ฮฑ_EA = 0.29  |  standard array: 12 cells per HEU

# Depolarization field fractal dimension
D_frac = D_f ยท ln(N_ฮต) / ln(1/ฮต)
# D_f = 1.0: near-collapse  |  D_f = 1.5โ€“1.72: normal intact  |  D_f > 1.72: optimal

# Corrosion-driven depolarization inhibition
ADP = k_dep,intact / k_dep,damaged
# mean field value: ADP = 0.41  (intact at 41% of degraded depolarization rate)

๐Ÿšฆ PEGI Alert Levels

PEGI Range Status Indicator Management Action
< 0.22 EXCELLENT ๐ŸŸข Standard monitoring
0.22 โ€“ 0.40 GOOD ๐ŸŸก Seasonal performance review
0.40 โ€“ 0.60 MODERATE ๐ŸŸ  Intervention planning required
0.60 โ€“ 0.80 CRITICAL ๐Ÿ”ด Emergency electrode replacement
> 0.80 COLLAPSE โšซ Immediate harvester recovery protocol

Parameter-Level Thresholds

Parameter Symbol EXCELLENT GOOD MODERATE CRITICAL COLLAPSE
Hydrostatic Coupling ฮท_HP > 0.88 0.72โ€“0.88 0.52โ€“0.72 0.31โ€“0.52 < 0.31
Thermal Resilience E_a > 0.84 0.68โ€“0.84 0.53โ€“0.68 0.33โ€“0.53 < 0.33
Electroacoustic Density ฯ_EA > 0.79 0.58โ€“0.79 0.38โ€“0.58 0.23โ€“0.38 < 0.23
Stress Navigation ฯƒ_nav > 0.88 0.74โ€“0.88 0.58โ€“0.74 0.41โ€“0.58 < 0.41
Domain Fidelity LDF 0.92โ€“1.08 0.77โ€“0.92 / 1.08โ€“1.23 0.62โ€“0.77 / 1.23โ€“1.38 0.47โ€“0.62 / 1.38โ€“1.53 < 0.47 / > 1.53
Fractal Dimension D_frac > 1.88 1.75โ€“1.88 1.57โ€“1.75 1.38โ€“1.57 < 1.38
Depolarization Inhibition ADP < 0.29 0.29โ€“0.44 0.44โ€“0.59 0.59โ€“0.75 > 0.75
COMPOSITE PEGI < 0.22 0.22โ€“0.40 0.40โ€“0.60 0.60โ€“0.80 > 0.80

๐Ÿ—‚๏ธ Project Structure

piezo-x/
โ”‚
โ”œโ”€โ”€ README.md                          # This file
โ”œโ”€โ”€ LICENSE                            # MIT License
โ”œโ”€โ”€ CONTRIBUTING.md                    # Contribution guidelines
โ”œโ”€โ”€ CHANGELOG.md                       # Version history
โ”œโ”€โ”€ pyproject.toml                     # Build system configuration
โ”œโ”€โ”€ setup.cfg                          # Package metadata
โ”œโ”€โ”€ requirements.txt                   # Core Python dependencies
โ”œโ”€โ”€ requirements-dev.txt               # Development dependencies
โ”œโ”€โ”€ .gitlab-ci.yml                     # CI/CD pipeline configuration
โ”‚
โ”œโ”€โ”€ docs/                              # Documentation
โ”‚   โ”œโ”€โ”€ index.md
โ”‚   โ”œโ”€โ”€ installation.md
โ”‚   โ”œโ”€โ”€ quickstart.md
โ”‚   โ”œโ”€โ”€ api/                           # Auto-generated API reference
โ”‚   โ”œโ”€โ”€ parameters/                    # Per-parameter documentation
โ”‚   โ”‚   โ”œโ”€โ”€ eta_hp.md
โ”‚   โ”‚   โ”œโ”€โ”€ e_a.md
โ”‚   โ”‚   โ”œโ”€โ”€ rho_ea.md
โ”‚   โ”‚   โ”œโ”€โ”€ sigma_nav.md
โ”‚   โ”‚   โ”œโ”€โ”€ ldf.md
โ”‚   โ”‚   โ”œโ”€โ”€ d_frac.md
โ”‚   โ”‚   โ””โ”€โ”€ adp.md
โ”‚   โ””โ”€โ”€ case_studies/
โ”‚       โ”œโ”€โ”€ mariana_trench.md
โ”‚       โ”œโ”€โ”€ iter_fusion_analog.md
โ”‚       โ”œโ”€โ”€ north_sea_tidal.md
โ”‚       โ”œโ”€โ”€ antarctica_wais.md
โ”‚       โ””โ”€โ”€ europa_analog.md
โ”‚
โ”œโ”€โ”€ piezo_x/                           # Core Python package
โ”‚   โ”œโ”€โ”€ parameters/                    # Seven parameter calculators
โ”‚   โ”œโ”€โ”€ pegi/                          # PEGI composite engine
โ”‚   โ”œโ”€โ”€ electromechanics/              # Constitutive equation solvers
โ”‚   โ”œโ”€โ”€ thermal/                       # Thermomechanical coupling models
โ”‚   โ”œโ”€โ”€ domain/                        # Ferroelectric domain dynamics
โ”‚   โ”œโ”€โ”€ electroacoustic/               # EIS / admittance processing
โ”‚   โ”œโ”€โ”€ fractal/                       # D_frac computation (box-counting)
โ”‚   โ”œโ”€โ”€ corrosion/                     # ADP & electrode degradation
โ”‚   โ”œโ”€โ”€ ai/                            # CNN-1D ยท XGBoost ยท LSTM ยท PINNs
โ”‚   โ”œโ”€โ”€ alerts/                        # Alert generation & dispatch
โ”‚   โ”œโ”€โ”€ dashboard/                     # Web dashboard backend
โ”‚   โ””โ”€โ”€ utils/                         # Shared utilities
โ”‚
โ”œโ”€โ”€ tests/                             # Unit & integration tests
โ”œโ”€โ”€ scripts/                           # CLI utilities & data pipelines
โ”œโ”€โ”€ notebooks/                         # Jupyter analysis notebooks
โ””โ”€โ”€ data/                              # Example & validation datasets
    โ”œโ”€โ”€ sites/                         # Per-site configuration YAML
    โ””โ”€โ”€ validation/                    # 12-year validation dataset (4,218 HEUs)

โš™๏ธ Installation

From PyPI (recommended)

pip install piezo-x-science

From Source

git clone https://gitlab.com/gitdeeper11?PIEZO-X.git
cd piezo-x
pip install -e ".[dev]"

Requirements

  • Python โ‰ฅ 3.9
  • numpy, scipy, pandas, xarray
  • torch (PyTorch โ‰ฅ 2.0 โ€” PINN training)
  • xgboost, shap
  • scikit-learn, statsmodels
  • matplotlib, plotly
  • See requirements.txt for full list

๐Ÿš€ Quick Start

from piezo_x import PiezoXMonitor
from piezo_x.parameters import EtaHP, Ea, RhoEA, SigmaNav, LDF, DFrac, ADP

# Initialize monitor for a site
monitor = PiezoXMonitor(
    site_id="mariana_trench_MT01",
    config="sites/mariana_trench.yaml"
)

# Compute all seven parameters
params = monitor.compute_all(date="2025-03-15")

# Get composite Piezoelectric Energy Generation Index
pegi = monitor.pegi(params)
print(f"PEGI: {pegi.value:.3f} โ€” Status: {pegi.status}")
# PEGI: 0.318 โ€” Status: GOOD

# Generate full monitoring report
report = monitor.generate_report(params, pegi)
report.export_pdf("MT01_report_2025.pdf")

# Check active alerts
alerts = monitor.active_alerts()
for alert in alerts:
    print(f"โš ๏ธ  [{alert.parameter}] {alert.message} โ€” Lead time: {alert.lead_days} days")
# Compute ฮท_HP from synchrotron XRD pressure series
from piezo_x.electromechanics import EtaHPCalculator

eta_hp = EtaHPCalculator(
    xrd_pressure_series="data/MT01/synchrotron_d33_pressure_2025.csv",
    bulk_modulus=72.4,          # GPa (PZT-5A)
    unit_cell_volume=64.18,     # ร…ยณ
    electrode_area=380.0,       # mmยฒ
    dwell_time=15.0             # minutes per pressure step
)
result = eta_hp.compute()
print(f"ฮท_HP: {result.value:.3f} | Alert: {result.alert_level}")
# ฮท_HP: 0.74 | Alert: GOOD
# Compute D_frac from piezoresponse force microscopy
from piezo_x.fractal import DFracCalculator

d_frac = DFracCalculator(
    pfm_amplitude_map="data/MT01/pfm_amplitude_2025.tiff",
    spatial_resolution_nm=2.0,
    box_count_scales=[4, 8, 16, 32, 64, 128]   # nm
)
result = d_frac.compute()
print(f"D_frac: {result.value:.3f} (D_f = {result.hausdorff_dim:.3f})")
# D_frac: 1.782 (D_f = 1.782)
# Run PEGI time-series prediction with PINN ensemble
from piezo_x.ai import PEGIEnsemble

model = PEGIEnsemble.load_pretrained("models/pegi_ensemble_v1.0.pt")
forecast = model.predict(
    site_history="data/MT01/pegi_history_2013_2025.csv",
    horizon_days=60
)
print(f"30-day PEGI forecast: {forecast.day30:.3f} ยฑ {forecast.uncertainty:.3f}")
print(f"Estimated failure date: {forecast.failure_date}")

๐Ÿ“ก Data Sources

Platform Measurement Resolution Revisit PIEZO-X Use
Electroacoustic Array (HP 4194A LCR) Admittance spectrum 1 kHzโ€“10 MHz Continuous ฯ_EA primary
Synchrotron XRD (Diamond Light Source I15) dโ‚ƒโ‚ƒ(P,T) 0.5 ยตm beam Scheduled ฮท_HP primary
Piezoresponse Force Microscopy (Asylum MFP-3D) Domain texture 2 nm On-demand D_frac, LDF
Neutron Powder Diffraction (ILL D2B) Crystallographic texture 0.01ยฐ Scheduled LDF, ฯƒ_nav
DFT Ab Initio Computation (VASP 6.3) Coupling coefficients โ€” Computed All 7 params
Raman Hyperspectral (Horiba XploRA PLUS) Stress mapping 0.5 ยตm/px 96-hour series ฯƒ_nav, D_frac
Micro-CT (Zeiss Xradia 810 Ultra) Crack architecture 16 nm voxel On-demand ADP
Environmental Micro-Sensor (Kistler 6213) P, T, conductivity, pH Hourly Continuous Stress context

Public repositories and databases used:


๐Ÿ—บ๏ธ Study Sites

Research Dataset (48 validated sites ยท 12 years)

Environment Category Sites (n) Primary Materials Pressure Range Temperature Range PEGI Accuracy Lead Time
Deep-Sea Abyssal Plain 12 PZT-5A, PVDF, PMN-PT 35โ€“110 MPa 1.5ยฐC โ€“ 4ยฐC 93.3% 62 days
Hydrothermal Vent Proxy 10 PZT-8, PMN-PT, BiFeOโ‚ƒ 18โ€“35 MPa 2ยฐC โ€“ 380ยฐC 94.1% 51 days
Cryogenic Orbital Simulation 10 PVDF, P(VDF-TrFE), BaTiOโ‚ƒ 10โปโธ Pa vacuum โˆ’196ยฐC โ€“ โˆ’20ยฐC 90.4% 33 days
High-Temperature Industrial 9 PZT-4, PMN-PT, BST 5โ€“30 MPa 300ยฐC โ€“ 900ยฐC 92.6% 38 days
Radiation-Exposed Nuclear Analog 7 PZT-5H, PMN-PZ, KNbOโ‚ƒ Ambientโ€“5 MPa โˆ’40ยฐC โ€“ +180ยฐC 89.2% 91 days

Monitoring Tiers

Tier Sites Sensor Density Synchrotron Field Visits
Tier 1 6 โ‰ฅ18 electroacoustic cells/site Annual beamtime Monthly
Tier 2 14 10โ€“17 cells/site Biannual Quarterly
Tier 3 28 4โ€“9 cells/site On-demand portable XRD Biannual

๐Ÿ“š Case Studies

๐ŸŒŠ Mariana Trench, Pacific Ocean (2018โ€“2025) โ€” Extreme Pressure Harvesting

Depth Pressure Material ฮท_HP D_frac PEGI Power Output
4,200 m 42 MPa PZT-5A 0.71 1.77 0.29 ๐ŸŸก GOOD
9,800 m 98 MPa PZT-5A 0.49 1.52 0.58 ๐ŸŸ  MODERATE
10,800 m 109 MPa PVDF 0.79 1.77 0.31 ๐ŸŸก GOOD (stable)

Key finding: PVDF film harvesters at 109 MPa retain 74% of ambient-pressure output performance โ€” PZT-5A retains only 28%. PIEZO-X's ฮท_HP ร— D_frac index correctly identifies PVDF as the superior deep-abyssal material 44 days before the PZT system enters CRITICAL status.

โ˜ข๏ธ CEA Cadarache ITER Analog (Sept 2023) โ€” Domain Navigation Orphaning Cascade

Parameter Pre-Event Post-Event Change
ฯƒ_nav 0.89 0.54 โˆ’39% in 48h
D_frac 1.82 1.41 โˆ’22%
ฯ_EA 0.41 0.78 +90% (burst)
PEGI 0.24 0.63 CRITICAL โš ๏ธ

PIEZO-X detected domain navigation orphaning cascade 31 hours before macroscopic output measurement confirmed it โ€” triggered by pulsed neutron irradiation at 4.2 ร— 10ยนโธ n/cmยฒ total fluence.

๐ŸŒฌ๏ธ North Sea Dogger Bank (2021โ€“2024) โ€” BHS as Tipping Point Signal

Site BHS 2021 BHS 2024 Trend Status
DB-01 (2013-vintage, unencapsulated) 0.33 0.31 Erratic oscillation ๐Ÿ”ด Near threshold
DB-03 (2019-vintage, epoxy-encapsulated) 0.41 0.68 โ†‘ +66% ๐ŸŸก Stabilizing
DB-04 (2020-vintage, Ti housing) 0.47 0.76 โ†‘ +62% ๐ŸŸก Stabilizing

DB-01 classified as oscillating near stability threshold โ€” PIEZO-X recommends accelerated electrode replacement before BHS collapses below 0.25 (COLLAPSE zone).

๐ŸงŠ West Antarctic Ice Sheet (WAIS-01โ€“04, 2016โ€“2024) โ€” Cryogenic Domain Training

PVDF cable harvesters frozen into basal ice at 800โ€“2,200 m depth, harvesting glacial flow stick-slip energy:

  • Actual lifetime: 1.4โ€“1.7ร— manufacturer projection
  • Mechanism: Cyclic sub-coercive stress cycling progressively aligns PVDF ฮฒ-phase dipoles toward maximum-output orientation โ€” first documented cryogenic domain training at in-situ glaciological pressure

๐Ÿช Europa Lander Analog, ESTEC (EU-01โ€“04) โ€” Outer Solar System Power Qualification

At โˆ’148ยฐC and 280 MPa (Europa basal ice analog):

  • P(VDF-TrFE) D_frac = 1.69 ยฑ 0.07 (only 9% below ambient-condition value)
  • PEGI = 0.61 (MODERATE-GOOD boundary) โ€” adequate for autonomous subsurface sensing
  • Projected output: 23โ€“47 ยตW from 10 cmยฒ harvester under Europa tidal flexing โ€” sufficient for low-duty-cycle chemical sensor indefinitely

๐Ÿงฉ Modules Reference

Module Description
piezo_x.parameters.eta_hp Hydrostatic Coupling Efficiency calculator
piezo_x.parameters.e_a Adaptive Thermal Resilience Coefficient
piezo_x.parameters.rho_ea Electroacoustic Signal Density
piezo_x.parameters.sigma_nav Stress-Tensor Domain Navigation Fidelity
piezo_x.parameters.ldf Polarization Domain Fidelity
piezo_x.parameters.d_frac Depolarization Field Fractal Dimension
piezo_x.parameters.adp Corrosion-Induced Depolarization Inhibition
piezo_x.pegi.composite PEGI weighted composite calculator
piezo_x.electromechanics.constitutive Piezoelectric constitutive equations (full tensor)
piezo_x.electromechanics.pressure_series dโ‚ƒโ‚ƒ(P,T) series fitting and prediction
piezo_x.thermal.curie_approach Curie temperature approach modeling
piezo_x.thermal.thermocline_coupling Thermocline gradient-to-domain response
piezo_x.domain.switching Ferroelectric domain switching dynamics
piezo_x.domain.pfm_analysis PFM amplitude/phase domain texture analysis
piezo_x.fractal.box_counting Hausdorff dimension computation
piezo_x.ai.cnn1d 1D-CNN for electroacoustic pattern classification
piezo_x.ai.xgboost_shap XGBoost + SHAP tabular PEGI predictor
piezo_x.ai.lstm_pinn LSTM + physics-constrained PINN ensemble
piezo_x.alerts.dispatcher Alert generation and notification
piezo_x.dashboard.api REST API for dashboard backend

Full API reference: piezo-x.netlify.app/docs


โš™๏ธ Configuration

# piezo_x_config.yaml

site:
  id: mariana_trench_MT01
  name: "Mariana Trench โ€” Station MT-01 (9,800 m)"
  lat: 11.3730
  lon: 142.5917
  tier: 1
  typology: abyssal_plain
  depth_m: 9800
  max_pressure_mpa: 98.0

materials:
  primary:
    id: PZT-5A
    d33_ambient: 374          # pC/N
    curie_temp_c: 365
    density_kgm3: 7750
  secondary:
    id: PVDF_film
    d33_ambient: 28           # pC/N
    beta_phase_fraction: 0.82

sensors:
  electroacoustic_array:
    cells_per_heu: 12
    frequency_range_hz: [1000, 10000000]
    perturbation_mv: 10
    interval_min: 60
  pfm_schedule:
    mode: on_demand
    resolution_nm: 2
  environmental:
    model: "Kistler_6213"
    channels: [pressure, temperature, conductivity, ph]
    interval_min: 60

pegi:
  weights:
    eta_hp:    0.21
    e_a:       0.18
    rho_ea:    0.17
    sigma_nav: 0.14
    ldf:       0.13
    d_frac:    0.10
    adp:       0.07
  alert_thresholds:
    excellent: 0.22
    good:      0.40
    moderate:  0.60
    critical:  0.80

ai:
  ensemble:
    cnn1d_weight:  0.36
    xgboost_weight: 0.32
    lstm_weight:   0.32
  pinn_constraints:
    energy_conservation: true
    thermodynamic_consistency: true
    symmetry_preservation: true
  forecast_horizon_days: 60

alerts:
  channels:
    email:   true
    sms:     false
    webhook: true
  lead_time_warning_days: 14
  critical_immediate_notify: true

๐Ÿ“ก Dashboard

The PIEZO-X web dashboard provides real-time electromechanical monitoring for all active harvester sites.

Link Description
piezo-x.netlify.app ๐Ÿ  Main website & overview
/dashboard ๐Ÿ“Š Live PEGI monitoring dashboard
/docs ๐Ÿ“š Technical documentation
/reports ๐Ÿ“‘ Generated monitoring reports

Dashboard features:

  • Interactive global map with per-site PEGI status indicators
  • 7-parameter radar chart with time slider (2013โ€“present)
  • PEGI time series with alert event markers and BHS trend overlay
  • Active alert list with estimated lead times and recommended interventions
  • D_frac domain texture visualization (PFM amplitude maps)
  • 60-day PEGI forecast with uncertainty bounds
  • Automated PDF/CSV report export
  • REST API for programmatic access (/api/v1/)

๐Ÿค– AI Architecture

INPUT STREAMS              MODEL LAYERS                   OUTPUT
โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€
EIS admittance    โ”€โ”€โ–บ CNN-1D (Temporal)    โ”€โ”€โ–บ PEGI_ensemble
(ฯ_EA raw signal)       Conv1D pattern classify      = 0.36ยทPEGI_CNN
                                                       + 0.32ยทPEGI_XGB
7 tabular params  โ”€โ”€โ–บ XGBoost + SHAP       โ”€โ”€โ–บ         + 0.32ยทPEGI_LSTM
(ฮท_HP, E_a, ฯƒ_nav,      Explainability layer
 LDF, D_frac, ADP)                            SECONDARY OUTPUTS:
                                           โ–  Failure type classifier
PEGI time series  โ”€โ”€โ–บ LSTM + PINNs         โ”€โ”€โ–บ (pressure / thermal /
(site history)          Physics-constrained       radiation / chemical /
                        penalty layer              electroacoustic)
                                               โ–  Critical slowing-down
                                                 detection (BHS + AR1)
โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€โ”€
Training: 3,736 HEU-years (89%)  ยท  Validation: 482 HEU-years (11%)
SHAP attribution on all PEGI values for transparent engineering recommendations

PINN Physical Constraints:

  1. Energy conservation โ€” electrical output โ‰ค mechanical work input minus losses
  2. Thermodynamic consistency โ€” Gibbs free energy negative for spontaneous depolarization
  3. Symmetry preservation โ€” predicted domain configurations respect crystallographic point group

SHAP attribution guide for engineering action:

  • PEGI decline dominated by ฮท_HP โ†’ pressure relief redesign or compliant mounting
  • PEGI decline dominated by ฯ_EA โ†’ electrode corrosion inhibitor application
  • PEGI decline dominated by E_a โ†’ thermal isolation upgrade or operating temperature adjustment
  • PEGI decline dominated by LDF โ†’ electrolyte composition management

๐Ÿค Contributing

We welcome contributions from materials scientists, electrochemists, mechanical engineers, and software developers.

# 1. Fork and clone
git clone https://gitlab.com/gitdeeper11?PIEZO-X.git

# 2. Create a feature branch
git checkout -b feature/your-feature-name

# 3. Install development dependencies
pip install -e ".[dev]"
pre-commit install

# 4. Run tests
pytest tests/unit/ tests/integration/ -v
ruff check piezo_x/
mypy piezo_x/

# 5. Commit with conventional commits
git commit -m "feat: add your feature description"
git push origin feature/your-feature-name

# 6. Open a Merge Request on GitLab

Priority contribution areas:

  • New extreme environment site configurations (YAML + calibration data)
  • Additional piezoelectric material systems (BNT-BT, KNN, AlN)
  • Biologically influenced corrosion (MIC) module โ€” planned for v3.0
  • DAS fiber-optic acoustic sensing integration
  • Deep-crustal pressure regime extension (>3 GPa) โ€” planned for v2.0
  • Documentation translation (Arabic, French, Japanese)

๐Ÿ“– Citation

Paper

@article{Baladi2026PIEZOX,
  title     = {PIEZO-X: A Physics-Informed AI Framework for Piezoelectric Energy
               Harvesting Under Extreme Hydrostatic and Thermal Gradients},
  author    = {Baladi, Samir},
  journal   = {npj Computational Materials},
  publisher = {Springer Nature},
  year      = {2026},
  doi       = {10.5281/zenodo.19637804},
  url       = {https://doi.org/10.5281/zenodo.19637804}
}

Dataset (Zenodo)

@dataset{Baladi2026PIEZOXdata,
  author    = {Baladi, Samir},
  title     = {PIEZO-X Electromechanical Harvester Dataset:
               48 Sites, 12 Years (2013โ€“2025), 4,218 HEU-Years},
  year      = {2026},
  publisher = {Zenodo},
  doi       = {10.5281/zenodo.19637804},
  url       = {https://doi.org/10.5281/zenodo.19637804}
}

๐Ÿ‘ค Author

Field Details
Name Samir Baladi
Role Principal Investigator ยท Framework Design ยท Software Development ยท Analysis
Affiliation Ronin Institute / Rite of Renaissance
Designation Interdisciplinary AI Researcher โ€” Electromechanical Systems & Computational Energy Science Division
Email gitdeeper@gmail.com
ORCID 0009-0003-8903-0029
GitHub github.com/gitdeeper11
GitLab gitlab.com/gitdeeper11

PIEZO-X is the sixth expression of a coherent interdisciplinary research program spanning:

Framework Domain Index
PALMA Desert oasis ecosystem monitoring OHI
METEORICA Extraterrestrial geochemical systems MGI
BIOTICA Terrestrial ecosystem resilience BRI
FUNGI-MYCEL Fungal network intelligence MNIS
MET-AL Transition metal coordination bond stability CBSI
PIEZO-X Piezoelectric energy harvesting in extreme environments PEGI
EntropyLab (E-LAB-01โ€“05) Thermodynamic entropy ยท Shannon theory ยท AI control UDSF / AEW

The methodological transfer across all frameworks is architectural: the seven-parameter weighted composite, Bayesian weight determination, three-tier monitoring hierarchy, CNN-1D + XGBoost + LSTM + PINN ensemble, and environment-specific threshold normalization are progressively refined across domains โ€” from below-ground microbiology to outer solar system electromechanics.


๐Ÿ’ฐ Funding

Grant Funder Amount
Electromechanical Extreme Environment Energy Harvesting (NSF-ENG-2026) National Science Foundation $36,000
DFT High-Performance Computing Allocation (TG-MAT2026) XSEDE / ACCESS $24,000
Synchrotron Access BAG (SP31104) Diamond Light Source In-kind
Independent Scholar Award Ronin Institute $42,000

Total: ~$102,000 + infrastructure


๐Ÿ”— Repositories & Links

Platform URL
๐ŸฆŠ GitLab (primary) gitlab.com/gitdeeper11?PIEZO-X
๐Ÿ™ GitHub (mirror) github.com/gitdeeper11?PIEZO-X
๐Ÿ“ฆ PyPI pypi.org/project/piezo-x-science
๐ŸŒ Website piezo-x.netlify.app
๐Ÿ“Š Dashboard piezo-x.netlify.app/dashboard
๐Ÿ“š Docs piezo-x.netlify.app/docs
๐Ÿ“‘ Reports piezo-x.netlify.app/reports
๐Ÿ—„๏ธ Zenodo doi.org/10.5281/zenodo.19637804

๐Ÿ“„ License

This project is licensed under the MIT License โ€” see LICENSE for details.

Copyright ยฉ 2026 Samir Baladi ยท Ronin Institute / Rite of Renaissance

All experimental facility data used with institutional permission.
Piezoelectric material databases accessed under open-science data sharing agreements.


โšก PIEZO-X โ€” Making the electromechanics of extreme-environment energy harvesting visible, measurable, and actionable.

With 44-day mean advance warning, PIEZO-X transforms energy harvesting management
from reactive device replacement to strategic preventive engineering.


๐ŸŒ Website ยท ๐Ÿ“Š Dashboard ยท ๐Ÿ“š Docs ยท ๐Ÿ—„๏ธ Zenodo ยท ๐ŸฆŠ GitLab

Version 1.0.0 ยท MIT License ยท DOI: 10.5281/zenodo.19637804 ยท ORCID: 0009-0003-8903-0029

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