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International Journal of AI for
            Materials and Design
                                                                             Fatigue life prediction via contrastive learning


            based, whereas deep learning methods can automatically   The essence of feature engineering lies in the
            learn  high-dimensional abstract representations  from   extraction and dimensionality reduction of complex,
            raw experimental data, capturing complex nonlinear   high-dimensional features, which brings samples closer
            relationships within the data. This comparison highlights   together in high-dimensional space. Traditional models,
            the strengths and limitations  of both approaches  and   based on physical laws and phenomenon analysis, focus
            underscores the importance of selecting appropriate input   on extracting and analyzing key values. However, many
            features for accurate fatigue life prediction. Wang et al.    of these models are empirical, summarizing patterns
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            proposed two physics-guided machine learning frameworks   that may not truly reflect the relationships between data
            based on the Paris law and machine learning models. The   samples, and they may not have clear physical models to
            first framework transforms the original features into new   describe the underlying dynamics. From the perspective of
            features using the Paris law, which are then combined with   data relationships, dimensionality reduction or clustering
            the original features and input into the machine learning   techniques, such as K-means,  variational autoencoder,
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            model  to  predict  fatigue  life.  The  second  framework   and contrastive learning, 47-50  can also be employed with
            integrates the Paris law and machine learning models   effective  results.  Among  these,  contrastive  learning
            using the Kalman filter, leveraging the advantages of both   stands out by maximizing the consistency between
            approaches and integrating information from different   similar samples and the disparity between different ones,
            models. This enables the fusion of physical information   enabling  the  learning  of  more  robust  and  generalized
            and machine learning, allowing the model to account for   feature representations. This approach does not require
            factors ignored by physics-based models while ensuring   prior knowledge of label information, which reduces
            consistency with physical results. Dong et al.  unified the   model usage costs. Furthermore, its adversarial sample
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            influence of different defects through equivalent damage   pair learning strategy enhances the model’s generalization
            area representation using the M-integral fatigue model. By   ability.  By optimizing  the relative distances  between
            taking cyclic loading and equivalent damage area as inputs   samples, contrastive learning provides a powerful learning
            and fatigue life as output, the approach effectively improved   mechanism for complex datasets.  This is especially
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            the generalization ability and prediction accuracy of   beneficial in unsupervised and self-supervised learning
            incomplete fatigue data. Fan et al.  expanded the original   scenarios, where it outperforms traditional algorithms.
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            dataset using the  Z-parameter model by restricting key   These advantages have led to contrastive learning
            parameters such as the size of critical defects, the relative   demonstrating outstanding  application  performance  in
            depth of critical micro-defects, and stress levels within   a variety of fields, such as visual recognition, 52,53  natural
            certain ranges. These extended datasets were then used to   language processing, 54,55  and sound analysis. 56,57
            build machine learning models for ultra-high-cycle fatigue   This paper addresses the issue of multiaxial fatigue life
            life prediction. With an appropriate increase in the size   prediction in  materials by  applying  contrastive learning
            of the training set, the model demonstrated significantly   to effectively extract sample features across different
            improved accuracy and exhibited higher accuracy and   multiaxial loading paths. The paper compares the feature
            stronger  generalization  compared  to  physical  models.   representation performance of different model frameworks
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            Gan  et al.  used the  Ye-Wang damage  theory  to derive   and tests various downstream task models. Compared to
            theoretical estimates of material behavior, constructing   other  clustering  or  dimensionality  reduction  algorithms,
            additional features closely related to the desired outputs.   contrastive learning consistently achieves good prediction
            This approach integrated original data information with   results, providing a new feature engineering strategy for
            domain knowledge. In addition, output standards were   multiaxial fatigue life prediction.
            set to provide information for the data-driven process of
            model training and prediction, highlighting its potential   2. Data
            in addressing small-sample problems. Wang  et al.
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            characterized the fatigue life of additive manufacturing   2.1. Experimental data
            (AM) parts under different stress amplitudes using   In this study, 20 multiaxial fatigue experimental data of
            predictions from continuous damage mechanics associated   316L stainless steel were used for training and validation
            with  AM.  These  predictions,  along  with  initial  features   of the contrastive learning model and downstream fatigue
            such  as  experimental  conditions,  mechanical  properties,   life prediction model. The experimental details can be
            porosity analysis, and surface morphology, were used as   found in the referenced published literature. 16,17  As shown
            inputs. By learning the dependence on physical principles,   in  Figure  2, the experimental data included four typical
            the model can better map the nonlinear relationships   uniaxial and multiaxial loading paths, each with five
            between inputs and outputs.                        different amplitudes, with a stress ratio of R = −1. Table 1



            Volume 2 Issue 1 (2025)                         56                        doi: 10.36922/IJAMD025040004
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