Related Experiment Video
Updated: Jun 7, 2026

09:17
Surrogate Model Development for Digital Experiments in Welding
Published on: March 28, 2025
Reliability-based mix design for concrete compressive strength using a physics-prior residual-learning surrogate with
Pengfei Qu1, Lei Song1, Sihan Wang1
1School of Management Science and Engineering, Shandong Technology and Business University, Yantai, China.
Plos One
|June 5, 2026
Summary
This study introduces a novel framework combining physics and data for concrete strength prediction, even with limited data. It enables reliable concrete mix design, ensuring desired strength and performance.
Area of Science:
- Materials Science
- Civil Engineering
- Data Science
Background:
- Predicting concrete compressive strength and designing reliable concrete mixes are crucial in civil engineering.
- Traditional methods struggle under data-scarce conditions, limiting accuracy and efficiency.
- Existing models often lack interpretability and fail to incorporate physical principles effectively.
Purpose of the Study:
- To develop an integrated framework for concrete compressive strength prediction and reliability-based mix design.
- To address challenges posed by data-scarce conditions by combining physics-based knowledge with data-driven approaches.
- To ensure physical plausibility and interpretability in the prediction model.
Main Methods:
- A physics-prior residual surrogate model combining a physics-consistent baseline with a residual neural network.
- Incorporation of effective water-to-binder ratio, age effects, supplementary cementitious material reactivity, and superplasticizer influence.
- Utilized SHAP values and partial dependence curves for model interpretability and feature importance analysis.
Main Results:
- The hybrid Physics+Data model achieved high accuracy (R²=0.9252, RMSE=4.39 MPa) on an independent test set.
- The model maintained accuracy even with only 40% of training samples, demonstrating robustness in data-scarce scenarios.
- Refined uncertainty quantification yielded nominal 95% prediction intervals with ~95.1% empirical coverage.
Conclusions:
- The integrated framework effectively predicts concrete compressive strength and facilitates reliability-based mix design.
- The physics-informed approach ensures physical plausibility and improves model performance, especially under data limitations.
- The study provides a robust tool for optimizing concrete mix design for desired performance targets.
Related Concept Videos
Mixing Concrete
Concrete mixing ensures a homogenous blend where aggregates are well-coated with cement paste. Concrete mixing is typically done using two main types of mixers: batch and continuous. Batch mixers handle one batch at a time, thoroughly combining materials before discharging and receiving the next batch. In contrast, continuous mixers receive a steady flow of ingredients, mixing them consistently and discharging without interruption. Within batch mixers, tilting drum mixers mix with internal...
Design Example: Managing Concrete Workability
This example deals with managing the workability of concrete for a raft foundation project under hot weather conditions. Workability is crucial for ensuring the concrete is easy to place, compact, and finish. In this scenario, a slump test — a common method to measure the workability of fresh concrete — initially indicated low workability. This was attributed to the rapid water loss from the concrete mix, exacerbated by the high temperatures causing the course aggregates to heat up.
To address...
To address...
Non-destructive Tests for Concrete Strength
The rebound hammer test, also known as the Schmidt hammer test, is a non-destructive technique for evaluating the hardness of concrete and, indirectly, the strength of concrete. It operates on the principle that the rebound of a spring-driven mass from a concrete surface correlates to the surface's hardness. The device comprises a mass within a tubular housing, a spring mechanism, and a plunger that strikes the concrete. Upon release, the energy imparted to the mass by the spring causes it to...
Behavior of Concrete Under Compressive Load
Concrete exhibits specific behaviors under different compressive loads. Understanding this is crucial for understanding its structural integrity. When concrete undergoes uniaxial compression, it tends to develop cracks that run parallel to the direction of the force. These parallel cracks stem from localized tensile stresses that occur perpendicular to the compression direction. Additionally, angled cracks may appear due to the formation of shear planes.
As the concrete specimen fractures under...
As the concrete specimen fractures under...
Slump Test
The slump test is a widely used method to measure the workability of concrete. It employs a 12-inch high truncated cone mold that tapers from eight inches at the base to four inches at the top. Before testing, the mold is securely attached to a flat base and dampened.
Concrete is poured into the mold in three layers to conduct the test. Each layer is compacted 25 times with a steel tamping rod, which has a five-eighths-inch diameter and a rounded end, to ensure even distribution and eliminate...
Concrete is poured into the mold in three layers to conduct the test. Each layer is compacted 25 times with a steel tamping rod, which has a five-eighths-inch diameter and a rounded end, to ensure even distribution and eliminate...
Water Cement Ratio
The water-cement ratio is pivotal in defining concrete's quality. This ratio, a balance between the weight of water and cement in the mix, shapes the concrete's strength, durability, and resistance to environmental factors. As identified by Abrams’ law, less water in the mix equates to stronger concrete. However, water is essential not only for the chemical process of hydration but also for the concrete's workability and compaction. While hydration chemically binds water and cement, physical...