Abstract:The linear thermoelastic problem of uniform heat flow disturbed by a central crack in an orthotropic plate is investigated using the techniques of Fourier Transforms and multiple integrations. The thermoelastic stresses and displacements in the crack plane are obtained in closed forms. The stress intensity factor is presented as a function of the material properties.
“…Chen [4] used a piezoelectric material to adjust the stiffness of the wires to control the response of a structure. Chen, Fanson, Caughey, Hanagud and Baily initiated experimental and theoretical research on smart beam type structures with piezoceramics as integral sensors and actuators [5][6][7][8][9]. Crawley showed that piezoceramic patches can be embedded in composite laminates to control a precision structure [10, 11].…”
Section: Smart Materials and Structuresmentioning
confidence: 99%
“…Readers interested in this area may refer to books by Nye [8], Berlincourt et.al. [9], and Landau and Lifshitz [10]. A phenomenological description of the dynamic response of piezoceramics to an external electric field, including domain reorientation processes and the dynamics of dipole moment in each domain, has been developed by Chen et.al.…”
Section: Nonlinear Constitutive Relations For Piezoceramicsmentioning
confidence: 99%
“…An alternative to surface bonding of the strain actuation material is to embed the material inside a composite structure (Crawley and De Luis [9]). The advantage of such embedding is that the load transfer from the actuation material to the host structure is enhanced and the surface of the structure is relatively free of fragile components and connections.…”
Section: Finite Element Analysis Of Smart Platesmentioning
confidence: 99%
“…In the present case, if the signal has travelled long enough distance, the moving window approach may distinguish between the arrival time between frequency components. 9 The third window of the moving window approach (100-500 points)…”
“…Chen [4] used a piezoelectric material to adjust the stiffness of the wires to control the response of a structure. Chen, Fanson, Caughey, Hanagud and Baily initiated experimental and theoretical research on smart beam type structures with piezoceramics as integral sensors and actuators [5][6][7][8][9]. Crawley showed that piezoceramic patches can be embedded in composite laminates to control a precision structure [10, 11].…”
Section: Smart Materials and Structuresmentioning
confidence: 99%
“…Readers interested in this area may refer to books by Nye [8], Berlincourt et.al. [9], and Landau and Lifshitz [10]. A phenomenological description of the dynamic response of piezoceramics to an external electric field, including domain reorientation processes and the dynamics of dipole moment in each domain, has been developed by Chen et.al.…”
Section: Nonlinear Constitutive Relations For Piezoceramicsmentioning
confidence: 99%
“…An alternative to surface bonding of the strain actuation material is to embed the material inside a composite structure (Crawley and De Luis [9]). The advantage of such embedding is that the load transfer from the actuation material to the host structure is enhanced and the surface of the structure is relatively free of fragile components and connections.…”
Section: Finite Element Analysis Of Smart Platesmentioning
confidence: 99%
“…In the present case, if the signal has travelled long enough distance, the moving window approach may distinguish between the arrival time between frequency components. 9 The third window of the moving window approach (100-500 points)…”
“…For example, the singularity of the stress fields near the crack-tip with a specified temperature or heat flux loading is studied by Sih [6]. The stress intensity factors of a central crack in an orthotropic material under a uniform heat flow are given by Tsai [7]. The thermoelasticity problem of two collinear cracks embedded in an orthotropic solid has been considered by Chen and Zhang [8].…”
The problem of two collinear cracks in an orthotropic solid under antisymmetrical linear heat flow is investigated. It is assumed that there exists thermal resistance to heat conduction through the crack region. Applying the Fourier transform, the thermal coupling partial differential equations are transformed to dual integral equations and then to singular integral equations. The cracktip thermoelastic fields including the jumps of temperature and elastic displacements on the cracks and the mode II stress intensity factors are obtained explicitly. Numerical results show the effects of the geometries of the cracks and the dimensionless thermal resistance on the temperature change and the mode II stress intensity factors. Also, FEM solutions for the stress intensity factor are used to compare with the solutions obtained using the method. It is revealed that the friction in closed crack surface region should be considered in analyzing the stress intensity factor .
The article deals with the problem of three thermally insulated cracks embedded in a fibrous composite material subjected to thermo‐mechanical loading. Orthotropy is ensured by the unidirectional reinforcement of fiber. The considered infinite orthotropic plane is divided mathematically into three parts. The present mathematical model comprises of a central crack parallel to two symmetric collinear cracks at an offset distance to it. All the cracks under consideration are thermally insulated and aligned in the fiber direction. Using the Fourier integral transformed technique, the governing equations are reduced into a pair of singular integral equations. The Chebyshev polynomials are used to solve the integral equations of first kind with Cauchy kernel functions. Numerical values of the mode I stress intensity factors (SIFs) at the tips of the cracks are found for different lengths and distance between those. The effect of cracks' interaction on the SIFs is depicted graphically for the fiber‐reinforced composite (FRC) material constituted by carbon‐based fiber—Graphite and matrix—Epoxy.
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