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  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113980
Extracting interfacial interactions using elastic field decomposition and a deep complex neural network
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Congjie Wei + 3 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113882
Inverse differential quadrature based shell strong unified formulation for 3D stress analysis of composite shell structures
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Aniket Gopa Chanda + 3 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113974
Path-following methods for phase-field simulation of quasi-static crack propagation
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Flavien Loiseau + 1 more

The variational approach to fracture, particularly through its regularization as a phase-field model, has become a widely used tool for simulating the quasi-static propagation of cracks in structures. However, classic incremental loading can induce unstable crack growth, violating the quasi-static assumption, and in some cases, leads to a loss of force balance, preventing self-consistency and the estimation of dissipated energy during snapback instabilities. To address this challenge, path-following methods are investigated. Their aim is to adjust the applied load so that it stays at the propagation threshold, thereby preserving the quasi-static assumption and ensuring equilibrium solutions. In this work, we apply and evaluate multiple path-following methods within the framework of variational phase-field fracture models, which are developed to regularize linear elastic variational sharp crack evolution problems. Our study pursues two objectives. First, we review several existing path-following methods, with a focus on partitioned strategies based on the displacement field, which decouple the path-following control equation from the rest of the system, facilitating easier integration with staggered solvers. In addition, we introduce a new path-following method whose particularity is to limit the maximum strain increment outside the cracked regions. Second, we use the Γ -convergence to the sharp crack model to evaluate these methods across three crack propagation problems of increasing complexity. The comparison demonstrates that the proposed path-following method offers a simple yet highly effective approach to capture the equilibrium path in phase-field fracture simulations. This method robustly maintains the quasi-static assumption, ensuring physically meaningful results. By enabling accurate estimation of the energy dissipated during snapback instabilities, it paves the way for the rational design of more resistant heterogeneous materials. • Identification of generic path-following methods compatible with staggered solvers. • A new method based on the strain outside the cracked zone offers improved performance. • Evaluation by testing the Γ -convergence to sharp crack model through examples of increasing complexity. • Toward numerically robust, self-consistent evaluation of equilibrium crack propagation paths. • Toward rational design of microstructures for enhanced fracture toughness.

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113950
Energy-based fracture criterion and interaction integral method for anti-plane cracks in nonhomogeneous micropolar materials
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Yingbin Zhang + 4 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113992
Modeling and simulation of dipped textile cords: Investigating the role of glue in bending response
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Gianluca Auteri + 3 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113972
Deep indentation model of thin film: Theory, experiment and application
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Jinxin Pan + 5 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113997
Shearing rigid–soft granular mixtures: Intrinsic micro–meso signatures underlying critical-state strength
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Haoran Jiang + 2 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113969
Flattening of tape-rings
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • J.a Clarkson + 1 more

  • New
  • Research Article
  • 10.1016/j.ijsolstr.2026.113975
Theoretical and numerical analysis of arbitrarily shaped planar cracks in 2D hexagonal piezoelectric quasicrystals
  • Jun 1, 2026
  • International Journal of Solids and Structures
  • Yuan Li + 3 more

  • New
  • Research Article
  • 10.1016/s0020-7683(26)00158-7
Editorial Board
  • Jun 1, 2026
  • International Journal of Solids and Structures