Mode I crack propagation in hydrogels is step wise

Pizzocolo, F.; Huyghe, Jmrj Jacques; Ito, Keita

doi:10.1016/j.engfracmech.2012.10.018

Cited by 38 publications

(25 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two types of mesh refinement in space were used but the stepwise advancement did not disappear. The stepwise advancement was also found independently by Kraaijeveld (2009) and confirmed experimentally by Pizzocolo et al (2013). It does not appear in other time dependent coupled solutions involving cohesive fracture, as e.g the thermo elastic one of .This aspect will be here further investigated using refinement in space and time.…”

Section: Introductionsupporting

confidence: 65%

2D and 3D Numerical Analysis of Fluid Pressure Induced Fracture

Secchi

Schrefler

2013

Poromechanics V

View full text Add to dashboard Cite

Simulation of 2D and 3D hydraulic fracturing in fully saturated porous media is presented. The discrete fracture/s is/are driven by the fluid pressure. A cohesive fracture model is adopted where in the 3D case the fracture follows the face of the element around the fracture tip which is closest to the normal direction of the maximum principal stress at the tip while in the 2D setting the fracture follows directly the direction normal to the maximum principal stress. No predetermined fracture path is needed. This requires continuous updating of the mesh around the crack tip to take into account the evolving geometry. The updating of the mesh is obtained by means of an efficient mesh generator based on Delaunay tessellation. The governing equations are written in the framework of porous media mechanics and are solved numerically in a fully coupled manner. Numerical examples dealing with well injection in a geological setting and hydraulic fracture in a concrete dam conclude the paper.

show abstract

Section: Introductionsupporting

confidence: 65%

2D and 3D Numerical Analysis of Fluid Pressure Induced Fracture

Secchi

Schrefler

2013

Poromechanics V

View full text Add to dashboard Cite

show abstract

“…Furthermore, a range of cell culture media can be employed as the aqueous phase without influencing the mechanical properties of the resultant hydrogel. Future work for studying these materials includes the study of gel fracture following the methodology outlined by Pizzocolo et al [38] in addition to their flexure strength.…”

Section: Resultsmentioning

confidence: 99%

Mechanical properties of alginate hydrogels manufactured using external gelation

Kaklamani

Cheneler

Grover

et al. 2014

Journal of the Mechanical Behavior of Biomedical Materials

169

View full text Add to dashboard Cite

Alginate hydrogels are commonly used in biomedical applications such as scaffolds for tissue engineering, drug delivery, and as a medium for cell immobilization. Multivalent cations are often employed to create physical crosslinks between carboxyl and hydroxyl moieties on neighbouring polysaccharide chains, creating hydrogels with a range of mechanical properties. This work describes the manufacture and characterisation of sodium alginate hydrogels using the divalent cations Mg 2+ , Ca 2+ and Sr 2+ to promote gelation via noncovalent crosslinks. The gelation time and Young's modulus are characterised as a function of cation and alginate concentrations. The implications of this work towards the use of environmental elasticity to control stem cell differentiation are discussed.

show abstract

“…Hence, their conclusions are not definite. However, Pizzocolo et al [24] confirmed stepwise advancement experimentally with a test on a small hydrogel disk. The duration of the pause Δt between steps is found to be inversely related to the hydraulic permeability K according to Δt = Δx 2 / KE with E Young's modulus and Δx length of the step.…”

Section: Introductionmentioning

confidence: 82%

“…Also, two-step procedures may introduce some bias in the solution. Two different explanations are found in the literature for the discussed phenomena: one invokes pressure drop [2] and the other pressure peak [24] after crack advancement. The respective loading conditions are different, but the question deserves further scrutiny.…”

Section: Discussionmentioning

confidence: 99%

“…The duration of the pause Δt between steps is found to be inversely related to the hydraulic permeability K according to Δt = Δx 2 / KE with E Young's modulus and Δx length of the step. A possible explanation for the stepwise behaviour observed in [20,21,24] put forward in [24] is that an incompressible fluid consolidation comes into play which prevents tip advancement until the overpressures due to the last advancement have been dissipated, and the stress has been transferred again to the solid phase. This implies the existence of pressure peaks after each advancement stage.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation