Karim Benyahi, Youcef Bouafia, Mohand Said Kachi, Salma Barboura
{"title":"Prediction of effective mechanical properties and development of damage model for inclusion composite materials","authors":"Karim Benyahi, Youcef Bouafia, Mohand Said Kachi, Salma Barboura","doi":"10.1177/10567895261440335","DOIUrl":"https://doi.org/10.1177/10567895261440335","url":null,"abstract":"The purpose of this study is to determine the mechanical characteristics for inclusion composite materials by several homogenization methods. Firstly, it involves modeling the (RVE) using the semi-analytical homogenization method, then formulating and implementing a periodic homogenization technique, where we proposed introducing additional degrees of freedom supporting the components of macroscopic deformations applying at composite “Concrete”. It is necessary to introduce behavior laws and damage models for composite materials. For this, we develop damage expressions based on material behavior models in order to analyze local fields and introduce failure criteria. Simulation by the semi-analytical Mori-Tanaka model gives good results for a two-phase material when the heterogeneity concentration is less than 30%. And as for modeling by the proposed periodic homogenization method, it gives us very satisfactory results regarding the prediction of the effective mechanical characteristics of composite materials. The percentage of inclusions as well as their shape have an influence on the latter. A parametric study was carried out to determine the influence of variations in the mechanical properties of mortar on those of effective “concrete” composite. The damage models developed allowed us to reproduce the softening behavior of the composite materials, which is progressively reduced as microcracks develop.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"133 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unified analysis of phase-field models for cohesive fracture","authors":"Jian-Ying Wu","doi":"10.1177/10567895261429154","DOIUrl":"https://doi.org/10.1177/10567895261429154","url":null,"abstract":"We address in this work unified analysis of phase-field models for cohesive fracture in order to alleviate the difficulty in selecting proper models and for further improvement. Aiming to regularize the Barenblatt's cohesive zone model, all the discussed models are distinguished by three characteristic functions, that is, the geometric function dictating the crack profile, the degradation function for the constitutive relation and the dissipation function defining the crack driving force. The latter two functions coincide in the associated formulation, while in the non-associated one they are designed to be different. Distinct from the counterpart for brittle fracture, in the phase-field model for cohesive fracture the regularization length parameter has to be properly incorporated into the dissipation and/or degradation functions such that the failure strength and traction–separation softening curve are both well-defined. Moreover, the resulting crack bandwidth needs to be non-decreasing during failure in order that imposition of the crack irreversibility condition does not affect the anticipated traction–separation law (TSL). With a truncated degradation function that is proportional to the length parameter, the Conti-Focardi-Iurlano model and the latter improved versions can deal with crack nucleation only in the vanishing limit and capture cohesive fracture only with a particular TSL. Owing to a length scale dependent degradation function of rational fraction, these deficiencies are largely overcome in the phase-field cohesive zone model (PF-CZM). Among many variants in the literature, only with the optimal geometric function, can the associated PF-CZM apply to general non-concave softening laws and the non-associated PF-CZM to (almost) any arbitrary one. Some mis-interpretations are clarified and representative benchmarks are presented.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"38 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An extended isogeometric analysis approach via symplectic system for interface V-notched magneto-electro-elastic bimaterial","authors":"Wang Xu, Youhan Xu, Dongwang Zhong, Zhenhuan Zhou","doi":"10.1177/10567895261440756","DOIUrl":"https://doi.org/10.1177/10567895261440756","url":null,"abstract":"Magneto-electro-elastic (MEE) materials play a crucial role in intelligent structural devices, where their structural integrity under coupled mechanical, electrical, and magnetic loading is critical for operational safety, particularly in regions containing stress-concentrating V-shaped notches introduced during design or service. Extended isogeometric analysis (XIGA) is proposed to investigate the fracture behavior of MEE bi-material structures with interfacial V-shaped notches under anti-plane loading. The symplectic analytical solutions for the anti-plane problem of a MEE bi-material structure with interfacial V-notch are derived and incorporated as enrichment functions for the notch-tip control points. The geometric model and multi-physics field interpolations are constructed directly using non-uniform rational B-splines. Material domains and control point positions are judged via level set functions, while the notch surfaces and material interface are enriched using Heaviside functions and level set-based enrichment, respectively. The derived XIGA formulation is transformed into a novel system of linear equations through the application of series-form symplectic analysis solutions. This approach enables direct computation of the field intensity factors and energy release rate at the notch tip. Numerical examples validate the accuracy of the proposed method and further analyzed the influence of structural parameters on fracture behavior.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"22 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A reformulation of nonlocal strain-driven continuum damage mechanics models using peridynamic differential operators","authors":"Noël Challamel, Gilles Pijaudier-Cabot","doi":"10.1177/10567895261440605","DOIUrl":"https://doi.org/10.1177/10567895261440605","url":null,"abstract":"This paper presents some analytical solutions for the static response of a nonlocal continuum damage mechanics (CDM) softening rod in tension. Two families of nonlocal CDM models valid for quasi-brittle materials are explored in this study: a ‘classical’ nonlocal strain-driven CDM model and a peridynamic CDM model. For both nonlocal CDM models, the elasto-damage constitutive law and the damage loading function can be affected through two independent scale-dependence kernels. It is chosen in this paper, to focus on the introduction of the nonlocality, for both CDM models, in the damage loading function. It is shown that the response of a strain-driven nonlocal damage rod may coincide with the one of a peridynamic nonlocal damage rod, for specific calibrated exponential kernels. Both nonlocal damage models, the strain-driven and the peridynamic damage models, governed by integral equations or integro-differential equations, are reformulated in a nonlocal differential framework. The propagation of the localization zone during the softening process is analytically investigated, by solving a moving damage boundary value problem. The size of the damage localization zone is shown to be loading-dependent. The strain profiles for both models are obtained and confirm the strain localization in the finite damage structural area of the homogeneous nonlocal rod in tension. The paper concludes by an analysis of the scale-dependence response of such nonlocal, strain-driven and peridynamic damage rods.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"18 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An efficient peridynamic model for damage and fracture analysis: the PD-GL framework with Gauss–Legendre–Lebedev quadrature","authors":"Han Wang, Liwei Wu, Dan Huang, Chuanqiang Yu","doi":"10.1177/10567895261436512","DOIUrl":"https://doi.org/10.1177/10567895261436512","url":null,"abstract":"The computational cost of peridynamics has historically limited its use to small-scale problems, despite its conceptual appeal for fracture modeling and failure analysis. This work introduces a revised peridynamic integration paradigm that enables high-fidelity simulations using substantially fewer integration points while maintaining accuracy. The key observation is that conventional peridynamic volume integration can be reformulated as two separable components, radial and angular, allowing independent numerical treatment of each. Building on this decoupling, we propose a peridynamic integration framework that couples Gauss– quadrature in the radial direction with Lebedev spherical quadrature for angular integration (PD-GL). This reformulation yields three main advances: (i) systematic reduction of integration points via structured projection algorithms, (ii) removal of repeated neighbor-search overhead through spatial hashing, and (iii) retention of high accuracy even for small horizons <jats:inline-formula> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"> <mml:mi>δ</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> <mml:mspace width=\".1em\"/> <mml:mrow> <mml:mi mathvariant=\"normal\">Δ</mml:mi> </mml:mrow> <mml:mi>x</mml:mi> </mml:math> </jats:inline-formula> , where conventional peridynamics typically deteriorates. Across a range of horizon sizes ( <jats:inline-formula> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"> <mml:mi>δ</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> <mml:mspace width=\".1em\"/> <mml:mrow> <mml:mi mathvariant=\"normal\">Δ</mml:mi> </mml:mrow> <mml:mi>x</mml:mi> </mml:math> </jats:inline-formula> to <jats:inline-formula> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"> <mml:mn>4</mml:mn> <mml:mspace width=\".1em\"/> <mml:mrow> <mml:mi mathvariant=\"normal\">Δ</mml:mi> </mml:mrow> <mml:mi>x</mml:mi> </mml:math> </jats:inline-formula> ), PD-GL achieves more than a sevenfold speedup relative to standard implementations, with the advantage increasing as the horizon grows. By integrating multiple established acceleration strategies into a single unified scheme, PD-GL addresses the primary computational bottlenecks of peridynamic simulations and facilitates practical, high-fidelity fracture and failure modeling in engineering applications.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"16 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lahis Assis, Michèle Farage, Flávia de Souza Bastos
{"title":"A strategy for concrete cracking simulation using high aspect ratio interface damage elements and rule-of-mixture-based equivalent properties","authors":"Lahis Assis, Michèle Farage, Flávia de Souza Bastos","doi":"10.1177/10567895261440413","DOIUrl":"https://doi.org/10.1177/10567895261440413","url":null,"abstract":"Capturing the influence of concrete mesostructure at the macroscale remains a significant challenge in computational modeling. This paper presents a novel methodology for simulating concrete cracking at the macroscale while considering mesoscale characteristics and overcoming the difficulties of generating computational specimens. To this end, a tensile damage model incorporating high aspect ratio interface elements via mesh fragmentation is employed to capture nonlinear behavior. The Rule of Mixture is utilized to derive effective properties. A notched square plate under uniaxial tensile loading is simulated, and the average result from five mesoscale realizations is compared with a single macroscale result, considering varying aggregate fractions and shapes. A three-point bending test and an L-shaped panel test are also performed to verify the effectiveness of the strategy under different fracture modes, and the results are compared with experimental and computational references. The findings demonstrate the efficacy of the approach in capturing mesoscale characteristics through macroscale analysis, encouraging further application to more complex analyses, such as thermomechanical or three-dimensional problems, which involve more computationally demanding aggregate arrangements in the mortar matrix.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"14 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chairman Report of the Fifth International Conference on Damage Mechanics, ICDM5, Singapore, 16–18 July 2025","authors":"","doi":"10.1177/10567895261425794","DOIUrl":"https://doi.org/10.1177/10567895261425794","url":null,"abstract":"","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"46 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Haiyue Yu, Junxiang Wang, Gang Sun, Jieru Tian, Jinlu Ba
{"title":"Dynamic damage model of rock-like materials based on peridynamic and fracture study of cross-fissured rocks under impact loading","authors":"Haiyue Yu, Junxiang Wang, Gang Sun, Jieru Tian, Jinlu Ba","doi":"10.1177/10567895261435783","DOIUrl":"https://doi.org/10.1177/10567895261435783","url":null,"abstract":"To investigate the effects of intersection angle and depth of cross-fissures on the dynamic mechanical behavior of rock with internal cross-fissures, a damage constitutive model and a three-dimensional (3D) failure criterion for impact fracture were established within the bond-based peridynamics framework. By introducing bond force distance attenuation and progressive damage evolution mechanisms, a novel damage constitutive model was developed, and a dynamic 3D bond failure criterion was proposed to consistently couple the energy condition, strength constraint, and strain rate effect. Furthermore, the stretch corresponding to the peak bond force, traditionally solely determined by the macroscale strength, was extended to be jointly governed by the macroscale strength and bond microscale parameters. This modification characterizes the variability of the bond stretches corresponding to the peak bond forces in heterogeneous materials, thereby improving the model's capability to describe material heterogeneity and differences in local failure. 3D benchmark examples were conducted to compare various attenuation functions, quantitatively verifying that the exponential attenuation form yields the minimum overall error index. Based on three validation cases, the influences of internal cross-fissure angle and depth on impact stress response, 3D crack propagation path and energy distribution were systematically analyzed. Results indicate that under impact loading, increased cross-fissure depth decreases peak stress and energy utilization efficiency; at a constant depth, peak stress increases first and then decreases with the rising intersection angle. Crack propagation presents symmetry and eventually forms a funnel-shaped 3D crack, with the minimum damage degree inside the funnel.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"5 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A novel coupled multiphysics mesoscopic model for concrete damage evolution under dry–wet cycles","authors":"Mingjue Wang, Jikai Zhou","doi":"10.1177/10567895261440172","DOIUrl":"https://doi.org/10.1177/10567895261440172","url":null,"abstract":"Concrete structures exposed to prolonged dry–wet cycles in aqueous environments undergo progressive damage, threatening their structural integrity. This study investigates the underlying damage mechanisms by analyzing the coupled evolution of multiple physical fields under dry–wet cycling. A coupled mesoscopic damage model (SSM-damage) was developed by integrating damage mechanics, seepage theory, moisture-induced swelling behavior, and mass transport theory. A multiphase mesoscopic modeling method is proposed to capture and accurately represent moisture-driven swelling effects. The synergistic evolution of porosity, permeability, and damage, along with its influence on the mechanical response under cyclic wetting and drying, is examined. The model and its numerical implementation are validated against experimental results, revealing reductions in load-bearing capacity by 7.9%, 17.8%, and 23.6% after 10, 30, and 50 cycles, respectively, with damage primarily concentrated during high-moisture phases. This study introduces a novel theoretical and numerical framework for modeling dry–wet cycling processes.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"21 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Engineering the undamageable material: Hyperelastic insights from biological tissues","authors":"George Z. Voyiadjis, Peter I. Kattan","doi":"10.1177/10567895261435763","DOIUrl":"https://doi.org/10.1177/10567895261435763","url":null,"abstract":"This article introduces a comprehensive theoretical and computational framework for <jats:italic toggle=\"yes\">undamageable materials</jats:italic> , a new class of systems that resist the initiation and accumulation of irreversible degradation under repeated loading. Drawing on multiscale design principles inspired by biological tissues, the concept integrates nanoscale crack deflection, microscale fiber reconfiguration, and macroscale adaptive chemistry to suppress damage evolution entirely. The model is implemented within the continuum mechanics framework, incorporating nonlinear elasticity, evolving internal variables, and bioinspired architecture. Two numerical examples are presented to illustrate the predictive capacity and physical insight of the formulation: (1) the dynamic response of aortic tissue under a quasi-static tensile load, and (2) the quasi-static compression behavior of swine brain tissue. Both simulations demonstrate the feasibility of achieving undamageable-like responses in soft biological materials through controlled hierarchical structuring. In the first example, the aorta is modeled as an undamageable hyperelastic composite, where collagen fiber realignment and reversible matrix reconfiguration prevent microstructural fatigue. The resulting stress–strain response exhibits full recovery over thousands of cycles, reproducing the self-preserving elasticity observed experimentally in arterial walls. In the second example, undamageable behavior is examined in swine brain tissue subjected to large deformations. The proposed constitutive model captures the tissue's remarkable resilience to permanent damage through energy dissipation and internal reorganization of microstructural networks. These results confirm that the undamageable material framework not only describes an idealized limit of damage-free performance but also provides a powerful tool for interpreting and replicating the extraordinary endurance of biological tissues.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"21 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147586768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}