Deformation in Generalized Transversely Isotropic Magneto-Thermoelastic Rotating Solid Due to Inclined Load and Thermal

The present research deals with the study of deformation in generalized transversely isotropic magneto-thermoelastic solid with two temperature (2T), rotation, due to inclined load and laser pulse. Generalized thermoelasticity theory has been considered f

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Abstract The present research deals with the study of deformation in generalized transversely isotropic magneto-thermoelastic solid with two temperature (2T), rotation, due to inclined load and laser pulse. Generalized thermoelasticity theory has been considered for this mathematical model. The entire thermoelastic medium is rotating with uniform angular velocity and subjected to thermally insulated and isothermal boundaries. The inclined load is supposed to be a linear combination of a normal load and a tangential load. The Fourier and Laplace transform techniques have been used to find the solution to the problem. The displacement components, conductive temperature distribution and stress components with the horizontal distance are computed in the transformed domain and further calculated in the physical domain using numerical inversion techniques. The effect of laser pulse in different theories of thermoelasticity is depicted graphically on the resulting quantities. Keywords Thermal laser pulse · Transversely isotropic generalized thermoelastic · Rotation · Inclined load · Magneto-thermoelastic solid

1 Introduction The laser technology has dynamic applications in testing and analysis of materials. When a solid is exposed with a laser pulse, it absorbs some energy which results in thermal deformation and generates ultrasonic waves in the material. The change at some point of the medium is beneficial to detect the deformed field near mining P. Lata · I. Kaur Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India e-mail: [email protected] I. Kaur e-mail: [email protected] K. Singh (B) UIET, Kurukshetra University, Kurukshetra, Haryana, India e-mail: [email protected] © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021 N. Marriwala et al. (eds.), Mobile Radio Communications and 5G Networks, Lecture Notes in Networks and Systems 140, https://doi.org/10.1007/978-981-15-7130-5_43

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shocks, seismic and volcanic sources, thermal power plants, high-energy particle accelerators and many emerging technologies. The study of a time-harmonic source is one of the broad and dynamic areas of continuum dynamics. Youssef and Al-Felali [1] described the generalized thermoelasticity problem of material with thermal loading due to laser pulse. Every et al. [2] calculated the laser thermoelastic generation in metals above the melt threshold. Youssef and El-Bary [3] discussed the thermoelastic material response due to laser pulse heating with four different theorems of thermoelasticity. Sharma et al. [4] investigated the 2D deception in a transversely isotropic homogeneous thermoelastic solids in the presence of two temperatures in GN-II theory with an inclined load (linear combination of normal load and tangential load). Kumar et al. [5] discussed the thermomechanical interactions due to laser pulse in microstretch thermoelastic medium. Kumar [6] studied the effect of laser pulse in micropolar thermoelasti