Application of Fracture Mechanics to Anisotropic Plates

1967 ◽  
Vol 34 (4) ◽  
pp. 967-974 ◽  
Author(s):  
E. M. Wu
Keyword(s):  
Fracture Mechanics ◽  
Fracture Criterion ◽  
Empirical Relation ◽  
Orthotropic Materials ◽  
Orthotropic Plates ◽  
Fiber Glass ◽  
Anisotropic Plates ◽  
Balsa Wood ◽  
General Law ◽  
Reinforced Plastic

The conditions necessary for the application of fracture mechanics to anisotropic materials were examined and verified experimentally on orthotropic plates. It was observed that crack extension, by opening and forward sliding, occurred independently and the associated stress-intensity factors at the state of incipient fracture are material constants. An empirical relation (k1/k1c) + (k2/k2c)2 = 1 was found to be a fracture criterion for both balsa wood and fiber-glass-reinforced plastic plates, inferring the existence of a general law of fracture for orthotropic materials.

scholarly journals Non-local criteria for the borehole problem: Gradient Elasticity versus Finite Fracture Mechanics

Meccanica ◽  
2021 ◽  
Author(s):  
A. Sapora ◽  
G. Efremidis ◽  
P. Cornetti
Keyword(s):  
Stress Concentration ◽  
Fracture Mechanics ◽  
Elastic Material ◽  
Fracture Criterion ◽  
Biaxial Loading ◽  
Gradient Elasticity ◽  
Energy Conditions ◽  
Material Behaviour ◽  
Finite Fracture Mechanics ◽  
Non Local

AbstractTwo nonlocal approaches are applied to the borehole geometry, herein simply modelled as a circular hole in an infinite elastic medium, subjected to remote biaxial loading and/or internal pressure. The former approach lies within the framework of Gradient Elasticity (GE). Its characteristic is nonlocal in the elastic material behaviour and local in the failure criterion, hence simply related to the stress concentration factor. The latter approach is the Finite Fracture Mechanics (FFM), a well-consolidated model within the framework of brittle fracture. Its characteristic is local in the elastic material behaviour and non-local in the fracture criterion, since crack onset occurs when two (stress and energy) conditions in front of the stress concentration point are simultaneously met. Although the two approaches have a completely different origin, they present some similarities, both involving a characteristic length. Notably, they lead to almost identical critical load predictions as far as the two internal lengths are properly related. A comparison with experimental data available in the literature is also provided.

Experimental Research on Longitudinal Wave Velocity of Fiber Glass Rod and its Internal Viscous Damping

1991 ◽  
Author(s):  
Yu-Ren Hu ◽  
Jun Xu
Keyword(s):  
Wave Velocity ◽  
Experimental Research ◽  
Longitudinal Velocity ◽  
Viscous Damping ◽  
Longitudinal Wave Velocity ◽  
Fiber Glass ◽  
Fiber Reinforced Plastic ◽  
Dynamic Factors ◽  
Reinforced Plastic ◽  
Theory Of Viscoelasticity

Abstract Fiber glass rod (i.e. FGR) is an uniaxial fiber reinforced plastic. In the movement of the rods, some dynamic characteristics such as the wave velocity and the damped coefficient are most important dynamic factors in analysis of the dynamic response of the rods. Generally, FGR are composed of two materials, fibers and resins. The particularities of the parameters for the wave velocity, etc of FGR are mainly depend on these two materials of different properties. This paper studies longitudinal velocity for FGR theoretecally and measure it by vibration method. The viscous damped coefficient is also measured by the theory of viscoelasticity. This paper presents that the viscous damped characteristic of material is mainly depend on the coupling mass between the rods.

Numerical simulation of the resin infusion process of fiber glass reinforced plastic pultruded sheet

2021 ◽  
Author(s):  
QianJin Xia ◽  
MingYang Hao ◽  
Xuewen Yang ◽  
Shuai Zhang ◽  
Hu Wang ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Fiber Glass ◽  
Resin Infusion ◽  
Reinforced Plastic

Calculation of Non-Homogeneous Anisotropic Rectangular Plates with Arbitrary Fixation on the Contur

2019 ◽  
Vol 968 ◽  
pp. 444-449
Author(s):  
Nikolay Zavrak
Keyword(s):  
Main Idea ◽  
Isotropic Case ◽  
Rectangular Plates ◽  
Orthotropic Plates ◽  
Anisotropic Plates ◽  
Practical Applications ◽  
Internal Forces ◽  
The Relationship ◽  
Difficult Cases ◽  
Anisotropic Rectangular Plates

The developing of the effective methodic of elastic orthotropic plates’ calculation and the research on the base of their state under different boundary conditions are of great importance nowadays. The representation of the received results in the form, convenient for practical use, is also important. For practical applications in engineering are important tables for determining deflections and internal forces of structures. Such tables for the isotropic case under various conditions of plate support on the contour are given in many works. As for the anisotropic plates, there are no such tables, with the exception of one Huber table compiled for a freely supported rectangular orthotropic plate, depending on the relationship between the stiffness values. Here is a method of calculating the non-homogeneous anisotropic rectangular plates with arbitrary fixation on the contour is set forth, which is reduced to a boundary value problem. The main idea of a calculated general methodic of linear marginal differential tasks calculation is based on underlying of the main part of a solution. Such approach is proved by means of development and some generalization of common positions of a variational method of marginal tasks of mathematical physics of self-conjugated tasks solution. To solve a system of equations in terms of displacements using finite difference method (FDM) in combination with different variations of analytical solutions. It is advisable to construct a numerical solution of the problem so that in difficult cases the support fixing and uploading solution sought, not directly, but in the form of amendments to the known solution for simple cases of reference to consolidate and uploading at finding the solutions which the analytical methods or the FDM with sparse mesh may be used. Given as examples are the results of calculation for a series of square orthotropic plates with a fixed boundary under the action of uniformly distributed load.

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