An official website of the United States government
For the first time, the mixed-mode dynamic fracture in anisotropic functionally varying microcellular structures is investigated herein. To this end, a recently developed homogenization MATLAB implementation capable of considering material and geometry-induced anisotropy is used, and a continuous medium with equivalent functionality distributed mechanical properties to the original microcellular domain is obtained. Then, the resulting material domain is subjected to dynamic loads, and the crack propagation is predicted by using a novel Timoshenko-based peridynamic model. This innovative method unprecedentedly accounts for a bond-length dependent shear influence factor and a shear strain-based failure criterion. Finally, numerous cases consisting of compact-tension (CT) and Kalthoff-Winkler specimens with several void sizes, shapes, and distribution patterns are numerically solved. The results demonstrate that the crack path is significantly influenced by the void distribution pattern near the crack tip, providing a foundation for engineering crack propagation to prevent it from reaching critical areas of a structure.
more »
« less
This content will become publicly available on February 18, 2026
Mixed‐Mode Timoshenko‐Based Peridynamics for Dynamic Crack Propagation in Functionally Graded Materials
ABSTRACT A recently developed Timoshenko‐based peridynamic model with a variable micropolar shear influence factor is extended to study the behavior of dynamic crack propagation in functionally graded materials (FGMs). To this end, first, the proposed model is validated against two experimental three‐point bending benchmark problems with different material functions as well as varying loading rates and durations. Then, numerous additional cases with different boundary conditions and material distribution are studied to predict crack initiation and propagation in such mediums. The examples consist of three‐point bending and Kalthoff–Winkler specimens with various material functions under dynamic loads. Finally, the effects of material anisotropy induced by functionally varying material properties on crack propagation path are addressed. It is shown that this new model is advantageous because of its capability to account for shear deformation effects in the bonds previously ignored by the original bond‐based peridynamic models. Moreover, comparing the proposed modified bond‐based model to more complex methods, such as state‐based peridynamics, reveals that the simplicity of the current approach results in lower computational costs while still achieving comparable results.
more »
« less
- Award ID(s):
- 2317406
- PAR ID:
- 10572382
- Publisher / Repository:
- Wiley-Blackwell
- Date Published:
- Journal Name:
- Fatigue & Fracture of Engineering Materials & Structures
- Volume:
- 48
- Issue:
- 5
- ISSN:
- 8756-758X
- Format(s):
- Medium: X Size: p. 2191-2205
- Size(s):
- p. 2191-2205
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
The original two-dimensional bond-based peridynamic (BBPD) framework, which only considers the pairwise forces (compression and tension) between two material points, is extended by incorporating the effect of shear deformation in the calculations and its influence on the failure of the bonds. To this end, each bond is considered as a short Timoshenko beam, and by doing so, the traditional BBPD is enhanced into a more comprehensive model known as multi-polar peridynamic (MPPD). The proposed novel approach explicitly considers the shear influence factor used in Timoshenko beams and introduces a strain-based shear deformation failure criterion. The model is then validated against two benchmark experimental tests (i.e., a standard pure mode I edge crack, and a Kalthoff-Winkler configuration) reported in the literature under in-plane dynamic loading and plane stress conditions. In most cases, the developed model is shown to be more accurate in predicting the crack paths obtained from the experimental results when compared to other theoretical methods delineated in the literature. Furthermore, a noticeable change in crack branching and crack path is observed in a study on the effects of Poisson’s ratio and the loading rate. This investigation also demonstrated that the proposed MPPD model can accommodate materials with Poisson’s ratios up to 1/3, expanding the range beyond the traditional BBPD limitations.more » « less
-
Using direct high-speed imaging, we study the transition between different chip formation modes, and the underlying mechanics, in machining of ductile metals. Three distinct chip formation modes — continuous chip, shear-localized chip, and fragmented chip — are effected in a same material system by varying the cutting speed. It is shown using direct observations that shear-localized chip formation is characterized by shear band nucleation at the tool tip and its propagation towards the free surface, which is then followed by plastic slip along the band without fracture. The transition from shear-localized chip to fragmented chip with increasing cutting speed is triggered by crack initiation at the free surface and propagation towards the tool tip. The extent to which crack travels towards the tool determines whether the chip is partially fragmented or fully fragmented (discontinuous). It is shown that shear localization precedes fracture and controls the crack path in fragmented chip formation. Dynamic strain and strain-rate fields underlying the each chip formation mode are quantified through image correlation analysis of high-speed images. Implications for using machining as an experimental tool for fundamental studies of localization and shear fracture in ductile metals are also discussed.more » « less
-
Abstract This study presents an experimental investigation to examine the mixed‐mode fracture behavior of fused filament fabrication printed acrylonitrile butadiene styrene (ABS). The single‐edge notch bending specimen configuration is employed to perform mixed‐mode fracture experiments. Four distinct printing orientations—90°, 0°, 45°/−45°, and 90°—are investigated. For each orientation, fracture studies are conducted under pure mode‐I loading (symmetric three‐point bending), mixed‐mode I/II, and pure mode‐II loading (asymmetric three‐point bending) to establish a mixed‐mode fracture criterion. The study evaluates the influence of printing orientation on fracture toughness, crack propagation behavior, and the mixed‐mode fracture criterion. Scanning electron microscopy (SEM) is utilized to analyze the fracture surfaces and correlate the observed fracture mechanisms with the measured fracture toughness values. The findings reveal that printing orientation significantly affects both the fracture toughness and the mixed‐mode fracture criterion. Among the orientations studied, the 90° specimens exhibit the highest fracture toughness and superior performance under all mixed‐mode conditions. SEM images of the fracture surfaces across different printing orientations show the formation of smooth shear zones of varying sizes near the crack tip under mixed‐mode and pure mode‐II conditions. These zones suggest an enhanced resistance to crack propagation, with the degree of improvement differing among the orientations. HighlightsMixed‐mode fracture behavior of 3D‐printed acrylonitrile butadiene styrene.Printing orientations have a major influence on mixed‐mode fracture criterion.90° printing orientation has the highest fracture toughness for mode‐mixities.0° printing orientation has the lowest fracture toughness for mode‐mixities.Fracture surface has dominant shear zone for all mode‐mixities except mode‐I.more » « less
-
Abstract The recently conceived gap test and its simulation revealed that the fracture energy Gf (or Kc, Jcr) of concrete, plastic-hardening metals, composites, and probably most materials can change by ±100%, depending on the crack-parallel stresses σxx, σzz, and their history. Therefore, one must consider not only a finite length but also a finite width of the fracture process zone, along with its tensorial damage behavior. The data from this test, along with ten other classical tests important for fracture problems (nine on concrete, one on sandstone), are optimally fitted to evaluate the performance of the state-of-art phase-field, peridynamic, and crack band models. Thanks to its realistic boundary and crack-face conditions as well as its tensorial nature, the crack band model, combined with the microplane damage constitutive law in its latest version M7, is found to fit all data well. On the contrary, the phase-field models perform poorly. Peridynamic models (both bond based and state based) perform even worse. The recent correction in the bond-associated deformation gradient helps to improve the predictions in some experiments, but not all. This confirms the previous strictly theoretical critique (JAM 2016), which showed that peridynamics of all kinds suffers from several conceptual faults: (1) It implies a lattice microstructure; (2) its particle–skipping interactions are a fiction; (4) it ignores shear-resisted particle rotations (which are what lends the lattice discrete particle model (LDPM) its superior performance); (3) its representation of the boundaries, especially the crack and fracture process zone faces, is physically unrealistic; and (5) it cannot reproduce the transitional size effect—a quintessential characteristic of quasibrittleness. The misleading practice of “verifying” a model with only one or two simple tests matchable by many different models, or showcasing an ad hoc improvement for one type of test while ignoring misfits of others, is pointed out. In closing, the ubiquity of crack-parallel stresses in practical problems of concrete, shale, fiber composites, plastic-hardening metals, and materials on submicrometer scale is emphasized.more » « less
