Mathematical modelling of the interface crack propagation in a pre-stressed fiber reinforced elastic composite

Peride, N.; Carabineanu, Adrian; Craciun, Eduard‐Marius

doi:10.1016/j.commatsci.2008.05.023

Cited by 22 publications

(13 citation statements)

References 4 publications

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“…In this case the equilibrium states of the material can be represented by two complex potentials defined in two complex planes [1][2][3][4][5][6][7][8][9][10]. We shall use Guz's representation of the elastic state [1], without initial deformation, in a weakly modified form due to Soos [10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of three equal collinear cracks in an orthotropic solid

et al. 2015

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We consider a homogeneous elastic, orthotropic solid containing three equal collinear cracks, loaded in tension by symmetrically distributed normal stresses. Following Guz's representation theorem and solving Riemann-Hilbert problems we determine the expressions of the complex potentials. Using the asymptotic analysis, we obtain the asymptotic values of the incremental stress and displacement fields. We determine the tangential stresses near the crack tips. Using the maximum tangential stress criterion and numerical computations we study the interaction problem for a Graphite-epoxy fiber reinforced composite material.

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Section: Introductionmentioning

confidence: 99%

Mathematical modeling of three equal collinear cracks in an orthotropic solid

et al. 2015

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“…In practice, the design of a building structure frequently requires considering the static and dynamic loads in the calculations. Often, dynamic loads in the form of impact need to be taken into account, eg, Karnati et al, Craciun et al, Peride et al, and Craciun and Soos . Situations where it is necessary to consider dynamic influences on structural elements require the designer's particular attention due to the fact that loads of this type cause the occurrence of vibrations in the structure.…”

Section: Introductionmentioning

confidence: 99%

Physical characteristics of concrete, essential in design of fracture‐resistant, dynamically loaded reinforced concrete structures

Golewski

2019

Mat Design & Process Comms

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Dynamic loads are all forces acting on the structure, which are characterised by variability in a short period of time in relation to the essential dynamic characteristics (a period of natural vibrations) of the loaded structure. The use of materials with appropriate parameters is required for the construction of dynamically loaded structures, as it allows to reduce crack formation in the material structure. Reinforced concrete (RC) is an essential and widely used construction material for dynamic load‐bearing structures. Therefore, the most important physical parameters of materials used for the construction of RC structures, subjected to dynamic loads, are described in this paper. The significant physical parameters of concrete, affecting the work of dynamically loaded reinforced concrete structures, include dynamic coefficient of concrete elasticity, vibration energy absorption, dumping coefficient, and fatigue strength.

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“…Very recent applications concerning Caputo fractional derivative operator are also discussed in [14] by the same authors using a completely different method than Sviridyuk's group (see [15,16]). Some related topics can be found in [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Fractional Cauchy Problems for Infinite Interval Case-II

et al. 2019

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We consider fractional abstract Cauchy problems on infinite intervals. A fractional abstract Cauchy problem for possibly degenerate equations in Banach spaces is considered. This form of degeneration may be strong and some convenient assumptions about the involved operators are required to handle the direct problem. Required conditions on spaces are also given, guaranteeing the existence and uniqueness of solutions. The fractional powers of the involved operator B X have been investigated in the space which consists of continuous functions u on [ 0 , ∞ ) without assuming u ( 0 ) = 0 . This enables us to refine some previous results and obtain the required abstract results when the operator B X is not necessarily densely defined.

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Mathematical modelling of the interface crack propagation in a pre-stressed fiber reinforced elastic composite

Cited by 22 publications

References 4 publications

Mathematical modeling of three equal collinear cracks in an orthotropic solid

Mathematical modeling of three equal collinear cracks in an orthotropic solid

Physical characteristics of concrete, essential in design of fracture‐resistant, dynamically loaded reinforced concrete structures

Fractional Cauchy Problems for Infinite Interval Case-II

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