Journal: International Journal of Solids and Structures

Abbreviation

Int. j. Solids Struct.

Publisher

Elsevier

Journal Volumes

ISSN

0020-7683
1879-2146

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Publications 1 - 10 of 67
  • Damage-induced mechanical damping in phase-transforming composites materials
    Item type: Journal Article
    Junker, Philipp; Kochmann, Dennis M. (2017)
    International Journal of Solids and Structures
  • Time domain finite element estimates of dynamic stiffness of viscoelastic composites with stiff spherical inclusions
    Item type: Journal Article
    Gusev, Andrei A. (2016)
    International Journal of Solids and Structures
  • A physically based structural model for a textile prosthetic mesh
    Item type: Journal Article
    Röhrnbauer, B.; Kress, Gerald; Mazza, Edoardo (2014)
    International Journal of Solids and Structures
  • A numerical two-scale approach for nonlinear hyperelastic beams and beam networks
    Item type: Journal Article
    Le Clézio, Helen; Lestringant, Claire; Kochmann, Dennis M. (2023)
    International Journal of Solids and Structures
    We introduce a numerical framework for modeling hyperelastic slender trusses, oftentimes used as elementary building blocks in architected materials, which accounts for both the geometric nonlinearity inherent in thin structures and the nonlinear constitutive behavior of the base material. Akin to the FE method in homogenization, our approach is based on a formal, two-scale expansion. We decompose the three-dimensional (3D) description of a slender structure into a macroscale problem solving for the deformation of the beam center-line (based on an effective strain energy density, which depends on the stretching, bending, and torsional strains of the beam’s center-line) and a series of two-dimensional (2D) microscale boundary value problems (defined over the beam cross-section). We solve a series of 2D problems (covering a range of macroscopic strain combinations) for a given cross-sectional geometry and material distribution in an offline, pre-processing step. Using this pre-computed energy landscape, we solve the macroscopic boundary value problem within a geometrically exact, nonlinear discrete beam framework. We demonstrate the accuracy of this approach through a set of benchmark problems highlighting the nonlinear effects of the cross-sectional geometry and constitutive material, including material heterogeneity and pre-strains. We further illustrate how this technique is applied to truss-based architected materials consisting of networks of slender struts, which are typically made of polymeric base materials and thus allow for large nonlinear elastic deformation.
  • Mode-I fracture of compliant beam-based metamaterials
    Item type: Journal Article
    Bastek, Jan-Hendrik; Lothaller, Phillipe; Kochmann, Dennis M. (2025)
    International Journal of Solids and Structures
    Besides stiffness and strength, the resistance to fracture is one of the crucial mechanical properties of architected materials, which can be controlled by their structural design. We present a theoretical and numerical investigation of the mode-I fracture behavior of two-dimensional beam-based metamaterials, focusing on compliant elastic and viscoelastic base materials commonly employed in 3D-printed structures. Finite element simulations reveal that the compliance of viscoelastic structures can lead to a significant reorientation of the beam lattice near the crack tip. Though we assume a classical rate-independent local failure criterion, this reorientation results in material- and rate-dependent behavior, which deviates from the classical linear elastic fracture mechanics predictions. We introduce stress concentration maps as a visualization tool to systematically analyze the stress magnification in notched beam-based lattices, comparing results for the hexagonal, kagome, square, star, bowtie, octagon, and diamond lattices in the limit of fast and slow loading rates. Our findings indicate that the combination of lattice topology, overall compliance of the base material, and beam slenderness has a significant effect on the fracture behavior and leads to intricate transitions in the peak stress location within a structure, with up to six distinct failure locations for a single lattice. This has significant implications on the crack propagation behavior, including the occurrence of catastrophic vs. non-catastrophic failure, and highlights the limitations of the classical asymptotic stress field assumptions for a highly relevant class of mechanical metamaterials.
  • Post-Necking full-field FEMU identification of anisotropic plasticity from flat notched tension experiments
    Item type: Journal Article
    Sakaridis, Emmanouil; Roth, Christian; Jordan, Benoit; et al. (2024)
    International Journal of Solids and Structures
    This work introduces a finite element model updating (FEMU) identification scheme to determine the material parameters of an anisotropic metal plasticity model. Surround digital image correlation (DIC) data is collected from tensile tests on mildly notched flat specimens and it is used to minimize specimen alignment errors when comparing simulations and experiments. The front surface displacement fields and resultant force history are leveraged to calibrate a Whip-Bezier based material model in a computationally-efficient procedure, which treats the pre- and post-necking regimes separately. Experimental data from specimens with a larger notch radius (NT20) serve as the training set, while data from specimens with a smaller notch radius (NT6) are used for validation. Analysis of identification methods using datasets from virtual experiments highlights the improved generalization ability of the full-field approach compared to solely using force–displacement curves. However, this work also demonstrates that through-thickness necking in real notched tensile experiments is asymmetric. This can hinder the identification of the large strain segment of hardening laws, especially when a FEMU approach incorporates full-field information from one specimen surface only. Consequently, it is recommended to use advanced finite element models that capture asymmetric localized strain fields or to base the identification of large strain hardening responses on experiments that achieve large strains without asymmetric through-thickness strain localization, such as in-plane torsion tests.
  • Coupled mixed-mode cohesive zone modeling of interfacial debonding in simply supported plated beams
    Item type: Journal Article
    De Lorenzis, Laura; Fernando, Dilum; Teng, Jin-Guang (2013)
    International Journal of Solids and Structures
  • Scaling, saturation, and upper bounds in the failure of topologically interlocked structures
    Item type: Journal Article
    Feldfogel, Shai; Karapiperis, Konstantinos; Andrade, Jose; et al. (2023)
    International Journal of Solids and Structures
    Topological Interlocking Structures (TIS) have been increasingly studied in the past two decades. However, some fundamental questions concerning the effects of Young’s modulus and the friction coefficient on the structural mechanics of the most common type of TIS application – centrally loaded panels – are not yet clear. Here, we present a first-of-its-kind parametric study that aims to clarify how these two parameters affect multiple aspects of the behavior and failure of centrally-loaded TIS panels. This includes the evolution of the structural response up to and including failure, the foremost structural response parameters, and the residual carrying capacity. We find that the structural response parameters in TIS panels scale linearly with Young’s modulus, that they saturate with the friction coefficient, and that the saturated response provides an upper-bound on the capacity of centrally loaded TIS panels reported in the literature. This, together with additional findings, insights, and observations, comprise a novel contribution to our understanding of the interlocked structural form.
  • Nucleation of frictional sliding by coalescence of microslip
    Item type: Journal Article
    Schär, Styfen; Albertini, Gabriele; Kammer, David S. (2021)
    International Journal of Solids and Structures
    The onset of frictional motion is mediated by the dynamic propagation of a rupture front, analogous to a shear crack. The rupture front nucleates quasi-statically in a localized region of the frictional interface and slowly increases in size. When it reaches a critical nucleation length it becomes unstable, propagates dynamically and eventually breaks the entire interface, leading to macroscopic sliding. The nucleation process is particularly important because it determines the stress level at which the frictional interface fails, and therefore, the macroscopic friction strength. However, the mechanisms governing nucleation of frictional rupture fronts are still not well understood. Specifically, our knowledge of the nucleation process along a heterogeneous interface remains incomplete. Here, we study the nucleation of localized slip patches on linear slip-weakening interfaces with deterministic and stochastic heterogeneous friction properties. Using numerical simulations, we analyze the process leading to a slip patch of critical size for systems with varying correlation lengths of the local friction strength. Our deterministic interface model reveals that the growth of the critical nucleation patch at interfaces with small correlation lengths is non smooth due to the coalescence of neighboring slip patches. Existing analytical solutions do not account for this effect, which leads to an overestimation of global interface strength. Conversely, when the correlation length is large, the growth of the slip patch is continuous and our simulations match the analytical solution. Furthermore, nucleation by coalescence is also observed on stochastic interfaces with small correlation length. In this case, the applied load for a given slip patch size is a random variable. We show that its expectation follows a logistic function, which allows us to predict the strength of the interface well before failure occurs. Our model and observations provide new understanding of the nucleation process and its effect on the static frictional strength.
  • Stability of imperfect stiffened conical shells
    Item type: Journal Article
    Jabareen, Mahmood; Sheinman, Izhak (2009)
    International Journal of Solids and Structures
Publications 1 - 10 of 67