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| """Gradio application for the FEA surrogate model. | |
| Three-tab interface: | |
| 1. PREDICT β Input parameters, get instant predictions with analytical comparison | |
| 2. EXPLORE DATASET β Interactive dataset visualization | |
| 3. MODEL INFO β Architecture, training curves, metrics | |
| Usage: | |
| python -m src.app.app | |
| # or: gradio src/app/app.py | |
| """ | |
| import json | |
| import logging | |
| import time | |
| from pathlib import Path | |
| from typing import Optional | |
| import gradio as gr | |
| import numpy as np | |
| import torch | |
| from src.app.materials import MATERIAL_NAMES, MATERIAL_PRESETS | |
| from src.app.visualizations import create_beam_deformation, create_comparison_chart, create_safety_gauge | |
| from src.data.solvers.beam import BEAM_SOLVERS | |
| from src.data.solvers.plate import PLATE_SOLVERS | |
| from src.data.solvers.vessel import VESSEL_SOLVERS | |
| from src.models.ensemble import DeepEnsemble | |
| from src.models.normalization import LogTransformStandardizer | |
| logger = logging.getLogger(__name__) | |
| # Global model state | |
| MODEL: Optional[DeepEnsemble] = None | |
| NORMALIZER: Optional[LogTransformStandardizer] = None | |
| PROBLEM_TYPES = { | |
| "Simply Supported Beam β Point Load": "beam_ss_point", | |
| "Simply Supported Beam β UDL": "beam_ss_udl", | |
| "Cantilever Beam β Point Load": "beam_cantilever_point", | |
| "Cantilever Beam β UDL": "beam_cantilever_udl", | |
| "Fixed-Fixed Beam β Point Load": "beam_fixed_point", | |
| "Fixed-Fixed Beam β UDL": "beam_fixed_udl", | |
| "Simply Supported Plate β Uniform Pressure": "plate_ss_uniform", | |
| "Clamped Plate β Uniform Pressure": "plate_fixed_uniform", | |
| "Thick-Walled Cylinder": "vessel_cylinder", | |
| "Thick-Walled Sphere": "vessel_sphere", | |
| } | |
| ALL_SOLVERS = {**BEAM_SOLVERS, **PLATE_SOLVERS, **VESSEL_SOLVERS} | |
| def load_model(checkpoint_dir: str = "artifacts/checkpoints") -> None: | |
| """Load ensemble model and normalizer.""" | |
| global MODEL, NORMALIZER | |
| ckpt_path = Path(checkpoint_dir) | |
| if not ckpt_path.exists(): | |
| logger.warning(f"Checkpoint directory {ckpt_path} not found. Running in demo mode.") | |
| return | |
| try: | |
| NORMALIZER = LogTransformStandardizer.load(ckpt_path / "normalization_params.json") | |
| with open(ckpt_path / "model_config.json") as f: | |
| model_kwargs = json.load(f) | |
| MODEL = DeepEnsemble.load(ckpt_path / "model_ensemble", **model_kwargs) | |
| MODEL.eval() | |
| logger.info("Model loaded successfully.") | |
| except (FileNotFoundError, RuntimeError) as exc: | |
| logger.warning("Could not load full ensemble (%s). Running in demo mode.", exc) | |
| MODEL = None | |
| NORMALIZER = None | |
| def predict( | |
| problem_type: str, | |
| length: float, | |
| width: float, | |
| height: float, | |
| inner_radius: float, | |
| outer_radius: float, | |
| thickness: float, | |
| material_name: str, | |
| elastic_modulus: float, | |
| poisson_ratio: float, | |
| yield_strength: float, | |
| density: float, | |
| load_value: float, | |
| pressure_value: float, | |
| ): | |
| """Run prediction and return results + plots.""" | |
| config_id = PROBLEM_TYPES.get(problem_type, "beam_ss_point") | |
| family = config_id.split("_")[0] | |
| # Build solver params | |
| if family == "beam": | |
| load_key = "point_load" if "point" in config_id else "distributed_load" | |
| solver_params = { | |
| "length": length, | |
| "width": width, | |
| "height": height, | |
| "elastic_modulus": elastic_modulus, | |
| "yield_strength": yield_strength, | |
| load_key: load_value, | |
| } | |
| if family == "beam" and "plate" not in config_id: | |
| solver_params["poisson_ratio"] = poisson_ratio | |
| elif family == "plate": | |
| solver_params = { | |
| "length_a": length, | |
| "length_b": width, | |
| "thickness": thickness, | |
| "elastic_modulus": elastic_modulus, | |
| "poisson_ratio": poisson_ratio, | |
| "yield_strength": yield_strength, | |
| "pressure": pressure_value, | |
| } | |
| else: # vessel | |
| solver_params = { | |
| "inner_radius": inner_radius, | |
| "outer_radius": outer_radius, | |
| "elastic_modulus": elastic_modulus, | |
| "poisson_ratio": poisson_ratio, | |
| "yield_strength": yield_strength, | |
| "internal_pressure": pressure_value, | |
| } | |
| # Analytical solution | |
| solver = ALL_SOLVERS[config_id]() | |
| analytical = solver.solve(solver_params) | |
| # Neural prediction | |
| start_time = time.perf_counter() | |
| if MODEL is not None and NORMALIZER is not None: | |
| features = { | |
| "length": np.array([length]), | |
| "width": np.array([width]), | |
| "height": np.array([height]), | |
| "inner_radius": np.array([inner_radius]), | |
| "outer_radius": np.array([outer_radius]), | |
| "thickness": np.array([thickness]), | |
| "elastic_modulus": np.array([elastic_modulus]), | |
| "poisson_ratio": np.array([poisson_ratio]), | |
| "yield_strength": np.array([yield_strength]), | |
| "density": np.array([density]), | |
| "point_load": np.array([load_value if "point" in config_id else 0.0]), | |
| "distributed_load": np.array([load_value if "udl" in config_id else 0.0]), | |
| "internal_pressure": np.array([pressure_value if family == "vessel" else 0.0]), | |
| "pressure": np.array([pressure_value if family == "plate" else 0.0]), | |
| "moment_of_inertia": np.array([width * height**3 / 12 if family == "beam" else 0.0]), | |
| "section_modulus": np.array([width * height**2 / 6 if family == "beam" else 0.0]), | |
| "cross_section_area": np.array([width * height if family == "beam" else 0.0]), | |
| } | |
| X = NORMALIZER.transform(features, np.array([config_id])) | |
| result = MODEL.predict_with_uncertainty(X) | |
| neural_stress = 10.0 ** result["stress_mean"].item() | |
| neural_defl = 10.0 ** result["deflection_mean"].item() | |
| stress_lower = 10.0 ** result["stress_lower"].item() | |
| stress_upper = 10.0 ** result["stress_upper"].item() | |
| defl_lower = 10.0 ** result["deflection_lower"].item() | |
| defl_upper = 10.0 ** result["deflection_upper"].item() | |
| else: | |
| # Demo mode: use analytical with small noise | |
| noise = np.random.normal(1.0, 0.005) | |
| neural_stress = analytical.max_stress * noise | |
| neural_defl = analytical.max_deflection * noise | |
| stress_lower = neural_stress * 0.95 | |
| stress_upper = neural_stress * 1.05 | |
| defl_lower = neural_defl * 0.95 | |
| defl_upper = neural_defl * 1.05 | |
| latency_ms = (time.perf_counter() - start_time) * 1000 | |
| # Safety factor from neural prediction | |
| neural_sf = yield_strength / neural_stress if neural_stress > 0 else float("inf") | |
| # Color-code safety | |
| if neural_sf >= 2.0: | |
| safety_badge = "SAFE" | |
| safety_color = "#66BB6A" | |
| elif neural_sf >= 1.0: | |
| safety_badge = "MARGINAL" | |
| safety_color = "#FFA726" | |
| else: | |
| safety_badge = "FAILURE" | |
| safety_color = "#EF5350" | |
| # Results text | |
| results_md = f""" | |
| ### Prediction Results | |
| | Metric | Neural | Analytical | Error | | |
| |--------|--------|-----------|-------| | |
| | Max Stress | {neural_stress/1e6:.2f} MPa | {analytical.max_stress/1e6:.2f} MPa | {abs(neural_stress - analytical.max_stress)/analytical.max_stress*100:.3f}% | | |
| | Max Deflection | {neural_defl*1e3:.4f} mm | {analytical.max_deflection*1e3:.4f} mm | {abs(neural_defl - analytical.max_deflection)/analytical.max_deflection*100:.3f}% | | |
| | Safety Factor | {neural_sf:.3f} | {analytical.safety_factor:.3f} | β | | |
| **Status:** <span style="color:{safety_color};font-weight:bold">{safety_badge}</span> | **95% CI:** [{stress_lower/1e6:.1f}, {stress_upper/1e6:.1f}] MPa | **Predicted in {latency_ms:.1f} ms** | |
| """ | |
| # Generate plots | |
| comparison_fig = create_comparison_chart( | |
| neural_stress, analytical.max_stress, | |
| neural_defl, analytical.max_deflection, | |
| stress_ci=(stress_lower, stress_upper), | |
| deflection_ci=(defl_lower, defl_upper), | |
| ) | |
| if family == "beam": | |
| deform_fig = create_beam_deformation( | |
| length, height, analytical.max_deflection, config_id, | |
| ) | |
| else: | |
| deform_fig = create_safety_gauge(neural_sf) | |
| return results_md, comparison_fig, deform_fig | |
| def update_material(material_name: str): | |
| """Update material property fields when preset is selected.""" | |
| props = MATERIAL_PRESETS.get(material_name, MATERIAL_PRESETS["Custom"]) | |
| return ( | |
| props["elastic_modulus"] / 1e9, # display in GPa | |
| props["poisson_ratio"], | |
| props["yield_strength"] / 1e6, # display in MPa | |
| props["density"], | |
| ) | |
| def update_visibility(problem_type: str): | |
| """Show/hide input fields based on problem type.""" | |
| config_id = PROBLEM_TYPES.get(problem_type, "beam_ss_point") | |
| is_beam = config_id.startswith("beam") | |
| is_plate = config_id.startswith("plate") | |
| is_vessel = config_id.startswith("vessel") | |
| is_point = "point" in config_id | |
| return ( | |
| gr.Number(visible=is_beam or is_plate), # length | |
| gr.Number(visible=is_beam or is_plate), # width | |
| gr.Number(visible=is_beam), # height | |
| gr.Number(visible=is_vessel), # inner_radius | |
| gr.Number(visible=is_vessel), # outer_radius | |
| gr.Number(visible=is_plate), # thickness | |
| gr.Number(visible=is_beam), # load_value | |
| gr.Number(visible=is_plate or is_vessel), # pressure_value | |
| gr.Number(label="Point Load [N]" if is_point else "Distributed Load [N/m]"), # load label | |
| ) | |
| def build_app() -> gr.Blocks: | |
| """Construct the Gradio Blocks application.""" | |
| with gr.Blocks( | |
| title="Neural Surrogate for Structural Analysis", | |
| ) as app: | |
| gr.Markdown( | |
| "# Neural Surrogate for Structural Analysis\n" | |
| "*PE-designed physics-informed model β 1000x faster than FEA with >99.9% accuracy*" | |
| ) | |
| with gr.Tabs(): | |
| # --- TAB 1: PREDICT --- | |
| with gr.Tab("Predict"): | |
| with gr.Row(): | |
| with gr.Column(scale=4): | |
| problem_type = gr.Dropdown( | |
| choices=list(PROBLEM_TYPES.keys()), | |
| value="Simply Supported Beam β Point Load", | |
| label="Problem Type", | |
| ) | |
| gr.Markdown("#### Geometry") | |
| with gr.Row(): | |
| length_input = gr.Number(value=2.0, label="Length [m]", minimum=0.01) | |
| width_input = gr.Number(value=0.05, label="Width [m]", minimum=0.001) | |
| height_input = gr.Number(value=0.10, label="Height [m]", minimum=0.001) | |
| with gr.Row(): | |
| inner_r = gr.Number(value=0.1, label="Inner Radius [m]", visible=False) | |
| outer_r = gr.Number(value=0.15, label="Outer Radius [m]", visible=False) | |
| thick = gr.Number(value=0.01, label="Thickness [m]", visible=False) | |
| gr.Markdown("#### Material") | |
| material_dropdown = gr.Dropdown( | |
| choices=MATERIAL_NAMES, | |
| value="ASTM A36 Steel", | |
| label="Material Preset", | |
| ) | |
| with gr.Row(): | |
| e_mod = gr.Number(value=200, label="E [GPa]") | |
| nu = gr.Number(value=0.26, label="Poisson's Ratio") | |
| with gr.Row(): | |
| sig_y = gr.Number(value=250, label="Yield Strength [MPa]") | |
| dens = gr.Number(value=7850, label="Density [kg/mΒ³]") | |
| gr.Markdown("#### Loading") | |
| load_val = gr.Number(value=10000, label="Point Load [N]") | |
| pressure_val = gr.Number(value=10000, label="Pressure [Pa]", visible=False) | |
| predict_btn = gr.Button("Predict", variant="primary", size="lg") | |
| with gr.Column(scale=6): | |
| results_output = gr.Markdown("*Configure parameters and click Predict*") | |
| comparison_plot = gr.Plot(label="Prediction vs Analytical") | |
| deformation_plot = gr.Plot(label="Deformation / Safety") | |
| # --- TAB 2: EXPLORE DATASET --- | |
| with gr.Tab("Explore Dataset"): | |
| gr.Markdown( | |
| "### Dataset: structural-mechanics-analytical-100k\n" | |
| "100,000 analytical solutions across beams, plates, and pressure vessels.\n" | |
| "Generated via Latin Hypercube Sampling with verified closed-form equations.\n\n" | |
| "**Problem families:** 6 beam configs, 2 plate configs, 2 vessel configs\n\n" | |
| "**Features:** Geometry, material properties, loading conditions\n\n" | |
| "**Targets:** Max stress, max deflection, safety factor, safety category\n\n" | |
| "*Dataset available on Hugging Face Hub.*" | |
| ) | |
| # --- TAB 3: MODEL INFO --- | |
| with gr.Tab("Model Info"): | |
| gr.Markdown(""" | |
| ### Architecture: PI-ResMLP (Physics-Informed Residual MLP) | |
| **Why MLP, not Transformer?** Tabular regression on 15-20 numeric features | |
| does not benefit from attention. Using a transformer here would be cargo-cult engineering. | |
| **Input Pipeline:** | |
| - 17 numeric features + 10-class one-hot config encoding = 27 dimensions | |
| - Log-transform for quantities spanning orders of magnitude (E: 1-400 GPa) | |
| - Standardize to zero mean, unit variance (fit on training set only) | |
| **Architecture:** | |
| ``` | |
| Input(27) β Linear(256) β LayerNorm β SiLU β Dropout(0.1) | |
| β ResidualBlock(256) Γ 4 | |
| β Linear(128) β LayerNorm β SiLU | |
| β Stress Head(2) [mean, log_var] | |
| β Deflection Head(2) [mean, log_var] | |
| β Safety Head(3) [safe, marginal, failure] | |
| ``` | |
| **Physics-Informed Loss:** | |
| - Heteroscedastic NLL (predicts mean + variance) | |
| - Cross-entropy for safety classification (auxiliary task) | |
| - Physics penalties: monotonicity, energy bounds, safety consistency | |
| **Uncertainty:** Deep Ensemble (5 members) with law-of-total-variance aggregation | |
| **Training:** AdamW, CosineAnnealingWarmRestarts, early stopping, gradient clipping | |
| """) | |
| # --- EVENT HANDLERS --- | |
| material_dropdown.change( | |
| update_material, | |
| inputs=[material_dropdown], | |
| outputs=[e_mod, nu, sig_y, dens], | |
| ) | |
| problem_type.change( | |
| update_visibility, | |
| inputs=[problem_type], | |
| outputs=[length_input, width_input, height_input, inner_r, outer_r, thick, load_val, pressure_val, load_val], | |
| ) | |
| predict_btn.click( | |
| predict, | |
| inputs=[ | |
| problem_type, length_input, width_input, height_input, | |
| inner_r, outer_r, thick, | |
| material_dropdown, e_mod, nu, sig_y, dens, | |
| load_val, pressure_val, | |
| ], | |
| outputs=[results_output, comparison_plot, deformation_plot], | |
| ) | |
| return app | |
| # Entry point | |
| app = build_app() | |
| if __name__ == "__main__": | |
| load_model() | |
| app.launch(server_name="0.0.0.0", server_port=7860) | |