Shouyang Huang^*, Hong Zheng, Xuguang Yu, Ziheng Li, Zhiwei Pan

CMES-Computer Modeling in Engineering & Sciences, Vol.146, No.3, 2026, DOI:10.32604/cmes.2026.075929 - 30 March 2026

Abstract Functionally graded material (FGM) plates are widely used in various engineering structures owing to their tailor-made mechanical properties, whereas cracked homogeneous plates constitute a canonical setting in fracture mechanics analysis. These two classes of problems respectively embody material non-uniformity and geometric discontinuity, thereby imposing more stringent requirements on numerical methods in terms of high-order field continuity and accurate defect representation. Based on the classical Kirchhoff–Love plate theory, a numerical manifold method (MLS-NMM) incorporating moving least squares (MLS) interpolation is developed for bending analysis of FGM plates and fracture simulation of homogeneous plates with defects. The… More >

Run Jiao, Qingyuan Hou, Ziyu Jiang, Hongxia Wang^*

CMC-Computers, Materials & Continua, Vol.87, No.2, 2026, DOI:10.32604/cmc.2026.075967 - 12 March 2026

Abstract Mesh models are among the primary representations for storing 3-D objects, encapsulating detailed geometric information. 3-D mesh watermarking, in particular, plays a central role in the protection of 3-D content. However, frequency-domain methods rely on complex parameterization and spectral decomposition, which are sensitive to mesh topology and resolution and often introduce perceptible artifacts. Spatial-domain techniques, on the other hand, typically embed watermarks in global or randomly selected regions, leading to visible distortions and reduced robustness. To address the above limitations and protect model copyright without compromising the original aesthetic quality, we propose a deterministice PCA-synchronized… More >

Nour El Houda Kaiber¹, Tahar Mekhaznia¹, Akram Bennour^1,*, Mohammed Al-Sarem^2,3,*, Zakaria Lakhdara⁴, Fahad Ghaban², Mohammad Nassef^5,6

CMC-Computers, Materials & Continua, Vol.86, No.3, 2026, DOI:10.32604/cmc.2025.070337 - 12 January 2026

Abstract The generation of high-quality 3D models from single 2D images remains challenging in terms of accuracy and completeness. Deep learning has emerged as a promising solution, offering new avenues for improvements. However, building models from scratch is computationally expensive and requires large datasets. This paper presents a transfer-learning-based approach for category-specific 3D reconstruction from a single 2D image. The core idea is to fine-tune a pre-trained model on specific object categories using new, unseen data, resulting in specialized versions of the model that are better adapted to reconstruct particular objects. The proposed approach utilizes a… More >

Zhao Li¹, Hongyu Xu^1,*, Shuai Zhang², Jintao Cui¹, Xiaofeng Liu¹

CMC-Computers, Materials & Continua, Vol.86, No.1, pp. 1-18, 2026, DOI:10.32604/cmc.2025.068763 - 10 November 2025

Abstract The moving morphable component (MMC) topology optimization method, as a typical explicit topology optimization method, has been widely concerned. In the MMC topology optimization framework, the surrogate material model is mainly used for finite element analysis at present, and the effectiveness of the surrogate material model has been fully confirmed. However, there are some accuracy problems when dealing with boundary elements using the surrogate material model, which will affect the topology optimization results. In this study, a boundary element reconstruction (BER) model is proposed based on the surrogate material model under the MMC topology optimization… More >

Yingxin Zhang^1,2, Shuai Mo^1,2,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.34, No.1, pp. 1-1, 2025, DOI:10.32604/icces.2025.011038

Abstract To accurately describe the dynamic behavior of a gear-rotor-bearing system, it is essential to consider the interplay between thermal effects and dynamics. Therefore, this study develops a real-time coupling model that integrates thermal and dynamic aspects of the gear-rotor-bearing system, which captures the combined effects of various nonlinear factors, including dynamic clearances caused by thermal deformation, thermoelastic coupling stiffness, non-uniform load distribution in bearings, and multi-meshing state of gear. Building on this model, the study introduces a stepwise coupled thermodynamic and dynamic joint solution method, which is used to evaluate the effects of thermal influences More >

Heng Cheng¹, Yichen Yang¹, Yumin Cheng^2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.3, pp. 2853-2894, 2025, DOI:10.32604/cmes.2025.073178 - 23 December 2025

Abstract The element-free Galerkin (EFG) method, which constructs shape functions via moving least squares (MLS) approximation, represents a fundamental and widely studied meshless method in numerical computation. Although it achieves high computational accuracy, the shape functions are more complex than those in the conventional finite element method (FEM), resulting in great computational requirements. Therefore, improving the computational efficiency of the EFG method represents an important research direction. This paper systematically reviews significant contributions from domestic and international scholars in advancing the EFG method. Including the improved element-free Galerkin (IEFG) method, various interpolating EFG methods, four distinct More >

Kangjie Li, Wenjing Ye^*

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.2, pp. 1665-1688, 2025, DOI:10.32604/cmes.2025.072447 - 26 November 2025

Abstract Recent progress in topology optimization (TO) has seen a growing integration of machine learning to accelerate computation. Among these, online learning stands out as a promising strategy for large-scale TO tasks, as it eliminates the need for pre-collected training datasets by updating surrogate models dynamically using intermediate optimization data. Stress-constrained lightweight design is an important class of problem with broad engineering relevance. Most existing frameworks use pixel or voxel-based representations and employ the finite element method (FEM) for analysis. The limited continuity across finite elements often compromises the accuracy of stress evaluation. To overcome this… More >

Tian Tian¹, Huayi Wei^2,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.33, No.4, pp. 1-2, 2025, DOI:10.32604/icces.2025.011175

Abstract Brittle fracture is a critical failure mode in structural materials, and accurately simulating its evolution is essential for engineering design, material performance evaluation, and failure prediction. Traditional numerical methods, however, face significant challenges when dealing with higher-order fracture models and complex fracture behaviors. To overcome these challenges, this study proposes an innovative simulation framework based on higher-order finite element methods and adaptive mesh refinement, effectively balancing computational efficiency and simulation accuracy.
The research first develops a higher-order finite element method for the continuum damage fracture phase-field model. By incorporating higher-order finite element techniques, the proposed method… More >

Abdulnaser M. Alshoaibi^*, Yahya Ali Fageehi

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 189-214, 2025, DOI:10.32604/cmes.2025.071583 - 30 October 2025

Abstract Fatigue crack growth is a critical phenomenon in engineering structures, accounting for a significant percentage of structural failures across various industries. Accurate prediction of crack initiation, propagation paths, and fatigue life is essential for ensuring structural integrity and optimizing maintenance schedules. This paper presents a comprehensive finite element approach for simulating two-dimensional fatigue crack growth under linear elastic conditions with adaptive mesh generation. The source code for the program was developed in Fortran 95 and compiled with Visual Fortran. To achieve high-fidelity simulations, the methodology integrates several key features: it employs an automatic, adaptive meshing… More >

Yuyang Liu^1,2,*, Wensheng Zhou^1,2, Zhijie Wei^1,2, Engao Tang^1,2, Chenyang Shi³, Qirui Zhang^4,*, Zifeng Chen⁴

Energy Engineering, Vol.122, No.10, pp. 4245-4260, 2025, DOI:10.32604/ee.2025.066167 - 30 September 2025

Abstract After a long period of water flooding development, the oilfield has entered the middle and high water cut stage. The physical properties of reservoirs are changed by water erosion, which directly impacts reservoir development. Conventional numerical reservoir simulation methodologies typically employ static assumptions for model construction, presuming invariant reservoir geological parameters throughout the development process while neglecting the reservoir’s temporal evolution characteristics. Although such simplifications reduce computational complexity, they introduce substantial descriptive inaccuracies. Therefore, this paper proposes a meshless numerical simulation method for reservoirs that considers time-varying characteristics. This method avoids the meshing in traditional… More >