Kuldeep Sharma

Scopus Publications

A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model
Ashish Kumar, Kuldeep Sharma, Tinh Quoc Bui
Mathematics and Mechanics of Solids, 2026
This manuscript introduces a novel analytical technique using singular integral operators (SIOs) to study the strip electric-magnetic polarization saturation (EMPS) model with four collinear cracks, including two pairs of symmetrical unequal cracks, embedded in an infinite magneto-electro-elastic (MEE) solid. By applying the EMPS model and the distributed dislocation technique (DDT) while leveraging symmetry, we formulate singular integral equations for the coupled mechanical, electrical, and magnetic cracks based on their dislocation density functions. These equations are then transformed into Cauchy-type singular integral equations using nonlinear transformation. Since the reduced system of singular integral equations is defined over two disjoint intervals, an SIO-based technique is developed for the problem where Cauchy-type SIOs and inverse operators for each dislocation density function are defined, and then using their identities, the analytical solutions for the unknown dislocation density functions are derived after simplification. Iterative methods are employed to determine semipermeable crack-face conditions and the lengths of saturated zones. Numerical analysis shows that the distances between cracks and the crack length ratio significantly affect the lengths of saturated zones, crack tip opening potential (CTOP), crack tip opening induction (CTOI), crack opening displacement (COD), and the local stress intensity factor (LSIF), while inter-crack distance variations have a negligible impact on crack-face conditions. Validation of the results for the specific cases of the stated problem confirms the accuracy and efficacy of the developed SIO-based technique and the analytical solutions.
A modified interaction integral approach for XFEM analysis of semipermeable cracks in piezoelectric materials
Kuldeep Sharma, Rajalaxmi Rath, Tinh Quoc Bui
Theoretical and Applied Fracture Mechanics, 2026
Triaxial Performance of Geopolymer-Stabilized Industrial Waste for Pavement Sub-base Applications
Kuldeep Sharma, Arvind Kumar
Lecture Notes in Civil Engineering, 2026
A novel analytical technique based on singular integral operators to study EMPS model with two unequal collinear cracks in magneto-electro-elastic solids
Ashish Kumar, Kuldeep Sharma, Tinh Quoc Bui
Mechanics of Advanced Materials and Structures, 2026
A novel analytical technique based on singular integral operators (SIO) is presented to study the strip electric-magnetic polarization saturation (EMPS) model in magneto-electro-elastic (MEE) solids with two unequal collinear cracks. Unknown semipermeable crack-face conditions and saturated zone lengths are evaluated using iterative techniques and the obtained new analytical solutions for dislocation densities. Numerical studies of fracture parameters are conducted with respect to variations in electrical loading, inter crack space distance and crack-length ratio. The accuracy and efficacy of the SIO method are validated against published results for cases with two equal collinear cracks and center crack.
Mechanical and microstructural assessment of copper slag, rice husk ash and alkali activator composite as a sustainable pavement construction material: experimental and sustainability approach
Kuldeep Sharma, Kunal Jee Thakur, Arvind Kumar, Sarat Kumar Das
Journal of Material Cycles and Waste Management, 2026
Closed form solution for generalized modified polarization saturation model in piezoelectric media
Sandeep Singh, Kuldeep Sharma
Mathematics and Mechanics of Solids, 2025
The polarization saturation (PS) model is modified here by considering generalized polynomial-varying saturation condition [Formula: see text] in place of constant saturated electric displacement ([Formula: see text]) condition on the developed saturation zone length. The analytical study is presented on an infinite arbitrary polarized piezoelectric domain weakened by a Mode-III semipermeable center crack subjected to out-of-plane mechanical and in-plane electric displacement loadings. After mathematical formulation using complex variables and extended Stroh’s formalism approach, the problem is reduced into simultaneous non-homogeneous Riemann-Hilbert (R-H) problems in terms of complex variable functions, and the solution of these R-H problems is obtained in closed-form expressions. Explicit expressions for fracture parameters such as saturated zone lengths, crack sliding displacement (CSD), local stress intensity factor (LSIF), and electric displacement intensity factor (EDIF) are also evaluated for the generalized modified PS model. To validate the generalized solution against existing solutions in the literature, explicit analytical solutions for fracture parameters were derived from the generalized solution for specific cases of the modified PS model, including up to degree-five polynomial varying saturated conditions. The validation confirms the accuracy of the derived analytical solution for the generalized modified PS model in piezoelectric media. In addition, numerical studies were conducted on piezoelectric materials to investigate the effects of prescribed electromechanical loadings, crack-face conditions, and polarization angle on the defined fracture parameters. The results are presented graphically, analyzed, and discussed.
Bisection Method Based Technique for Analyzing Semipermeable Cracks in a Piezoelectric Material Using XFEM
Rajalaxmi Rath, Kuldeep Sharma
Iranian Journal of Science and Technology Transactions of Mechanical Engineering, 2025
DDM-based numerical studies for crack amplification and shielding in magneto-electro-elastic solid due to an array of parallel microcracks
Rajalaxmi Rath, Kuldeep Sharma, Ashish Kumar
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2025
The distributed dislocation method (DDM) is meticulously used to numerically study the amplification and shielding effects at the crack tip of a macro‐crack in a semipermeable finite magneto‐electro‐elastic (MEE) solid due to the presence of an array of parallel microcracks. The problem is modeled using an extended Stroh formalism approach in MEE materials and DDM, which is then mathematically formulated into a system of singular integral equations. After that, using the Gauss–Chebyshev quadrature scheme, these equations are solved numerically with great precision. The study considers different distributions of horizontal parallel microcracks aligned parallel to the center macro‐crack in horizontal, vertical, and transverse directions. An algorithm based on the iterative bisection method is elaborated to evaluate the semipermeable crack‐face conditions in MEE material. Also, the issue of implementing exact semipermeable crack‐face conditions for large sizes of parallel microcracks and a comparative analysis of these conditions evaluated based on the iterative bisection method and from the explicit formula of the center crack problem is presented. To analyze the amplification and shielding effects at the tip of the macro‐crack, the effects of the presence of these microcracks in the domain with respect to the distance from the macro‐crack tip have been observed on the stress intensity factors in comparison to stress intensity factors of the center crack problem. The role of geometrical parameters, crack‐face conditions, volume fraction, and number of microcracks in amplification and shielding effects in all the intensity factors (IFs) with respect to the position of the microcracks is discussed graphically and is quantitatively presented for maximum amplification and shielding values.
Coupled analysis in magneto-electro-elastic material for moving semipermeable crack based on EMPS model using singular integral equation
Ashish Kumar, Kuldeep Sharma, Himanshu Nautiyal
Strength Fracture and Complexity, 2025
This manuscript presents a moving semipermeable crack based on an electric-magnetic-polarization saturation (EMPS) model in magneto-electro-elastic (MEE) materials using the singular integral equation method. Propagation velocity-dependent a system of singular integral equations has been developed based on the EMPS model. Analytical solutions of developed singular integral equations and other fracture parameters are presented in this manuscript. Electric and magnetic semipermeable crack face boundary conditions have also been implemented at the center of the crack based on closed-form solutions with the help of an iterative method. Electric displacement, magnetic induction at the center of the crack, electric and magnetic zone lengths, and local stress intensity factors have been studied with respect to electric, magnetic, and mechanical loading for different propagation velocities. The final reveal is that electric displacement at crack surfaces has a miner effect with respect to magnetic loading. In contrast, electric displacement increases as electric loading increases and decreases as mechanical loading increases for all propagation velocities. Moreover, Normalized electric zone length and crack tip opening potential (CTOP) have a miner effect with respect to magnetic loading, while significantly affected with respect to electric and mechanical loading.
Moving EMPS model for semipermeable two equal collinear interface cracks in dissimilar magneto-electro-elastic materials
Ashish Kumar, Kuldeep Sharma, Tinh Quoc Bui
Mechanics of Advanced Materials and Structures, 2025
The moving electric-magnetic polarization saturation (EMPS) model is studied for two equal collinear interface cracks in mode-III dissimilar magneto-electro-elastic (MEE) bimaterial under semipermeable crack face conditions. The closed-form solutions of all three possible cases of the proposed EMPS model are derived using the distributed dislocation technique (DDT) and singular integral method. An iterative scheme and explicit expressions of fracture parameters are used to implement the semipermeable crack-face conditions. The study of local energy release rate based on constant electric and magnetic breakdown strength-based saturated conditions concludes that increasing the mismatch of the MEE bimaterial can improve its fracture toughness.
Study on the load sharing in piled raft foundation
Akash Priyadarshee, Vikas Kumar, Kuldeep Sharma, Ashish Kumar
Multiscale and Multidisciplinary Modeling Experiments and Design, 2024
Singular integral based closed-form solutions for modified EMPS models in semipermeable magneto-electro-elastic materials
Ashish Kumar, Kuldeep Sharma, Tinh Quoc Bui
Applied Mathematical Modelling, 2024
Singular integral method based closed form solution for moving EMPS model in semipermeable two-equal-collinear cracked MEE material
Ashish Kumar, Kuldeep Sharma, Tinh Quoc Bui
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2024
Simplified numerical algorithms for generalized strip saturated two equal collinear cracks in piezoelectric media using distributed dislocation technique
Kuldeep Sharma, Sandeep Singh, Tinh Quoc Bui
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2023
Alternative Crack-Tip Enrichment Functions for X-FEM in Arbitrary Polarized Piezoelectric Media
Rajalaxmi Rath, Kuldeep Sharma
Springer Proceedings in Mathematics and Statistics, 2023
Closed-form solutions for modified polarization saturated models in two unequal collinear cracked piezoelectric media considering coalesced interior zones
Sandeep Singh, Kuldeep Sharma, Tinh Quoc Bui
European Journal of Mechanics A Solids, 2021
Complex variable solution for mode-III quadratically varying PS model in piezoelectric media
Sandeep Singh, Kuldeep Sharma
Iop Conference Series Materials Science and Engineering, 2021
Riemann-Hilbert approach-based analytical solutions for strip saturated two unequal collinear cracks in piezoelectric media
Sandeep Singh, Kuldeep Sharma
Strength Fracture and Complexity, 2021
Numerical Studies for Generalized Modified Polarization Saturation (PS) Model in Piezoelectric Media
Kuldeep Sharma, Sandeep Singh
Lecture Notes in Mechanical Engineering, 2021
Complex variable solution for mode-III linearly varying polarization saturation model in piezoelectric media
Sandeep Singh, Kuldeep Sharma
Aip Conference Proceedings, 2020
New analytical solutions for modified polarization saturation models in piezoelectric materials
Sandeep Singh, Kuldeep Sharma, Tinh Quoc Bui
Meccanica, 2019
Analytical solution for two equal collinear modified strip saturated cracks in 2-D semipermeable piezoelectric media
Sandeep Singh, Kuldeep Sharma, R. R. Bhargava
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2019
Modified strip saturated models for two equal collinear cracks with coalesced zones in piezoelectric media
S. Singh, K. Sharma, R. R. Bhargava
Applied Mathematics and Mechanics English Edition, 2019
Numerical prediction of plastic zone length in straight edge cracked plate using XFEM
A. Jha, V. Kukshal, A. Sharma, K. Sharma
Aip Conference Proceedings, 2018
Numerical studies of some modified polarization saturation models in 2-D semipermeable piezoelectric media using distributed dislocation method
Kuldeep Sharma, Sandeep Singh
Lecture Notes in Mechanical Engineering, 2018
Complex variable approach in studying modified polarization saturation model in two-dimensional semipermeable piezoelectric media
S. Singh, K. Sharma, R. R. Bhargava
Applied Mathematics and Mechanics English Edition, 2017
Numerical distributed dislocation modeling of multiple cracks in piezoelectric media considering different crack-face boundary conditions and finite size effects
K. Sharma, T.Q. Bui, Sandeep Singh
Strength Fracture and Complexity, 2017
Numerical studies of an array of equidistant semi-permeable inclined cracks in 2-D piezoelectric strip using distributed dislocation method
Kuldeep Sharma, Tinh Quoc Bui, R.R. Bhargava, Tiantang Yu, Jun Lei, Sohichi Hirose
International Journal of Solids and Structures, 2016
Numerical simulation of crack propagation under fatigue loading in piezoelectric material using extended finite element method
S. Bhattacharya, G. Pamnani, S. Sanyal, K. Sharma
International Journal of Computational Materials Science and Engineering, 2015
Griffith's crack in a 2-D piezoelectric domain with an arbitrary polarization direction: Analytical/X-FEM solution
R.R. Bhargava, Kuldeep Sharma
Strength Fracture and Complexity, 2013
Analysis of a subinterface crack in piezoelectric bimaterials with the extended finite element method
K. Sharma, T.Q. Bui, Ch. Zhang, R.R. Bhargava
Engineering Fracture Mechanics, 2013
Application of X-FEM to study two-unequal-collinear cracks in 2-D finite magnetoelectoelastic specimen
R.R. Bhargava, Kuldeep Sharma
Computational Materials Science, 2012
X-FEM simulation for two-unequal-collinear cracks in 2-D finite piezoelectric specimen
R. R. Bhargava, Kuldeep Sharma
International Journal of Mechanics and Materials in Design, 2012
X-FEM studies on an inclined crack in a 2-D finite piezoelectric media
R. R. Bhargava, Kuldeep Sharma
Lecture Notes in Electrical Engineering, 2012
Numerical solution of an edge cracked 2-D piezoelectric media using extended finite element method
Rama R. Bhargava, Kuldeep Sharma
Applied Mechanics and Materials, 2012
A study of finite size effects on cracked 2-D piezoelectric media using extended finite element method
R.R. Bhargava, Kuldeep Sharma
Computational Materials Science, 2011

RECENT SCHOLAR PUBLICATIONS

A novel analytical technique based on singular integral operators to study EMPS model with two unequal collinear cracks in magneto-electro-elastic solids
A Kumar, K Sharma, TQ Bui
Mechanics of Advanced Materials and Structures 33 (1), 2435026 , 2026
2026
Citations: 3
A modified interaction integral approach for XFEM analysis of semipermeable cracks in piezoelectric materials
K Sharma, R Rath, TQ Bui
Theoretical and Applied Fracture Mechanics, 105477 , 2026
2026
Closed form solution for generalized modified polarization saturation model in piezoelectric media
S Singh, K Sharma
Mathematics and Mechanics of Solids 30 (12), 2805-2821 , 2025
2025
Citations: 1
DDM‐based numerical studies for crack amplification and shielding in magneto‐electro‐elastic solid due to an array of parallel microcracks
R Rath, K Sharma, A Kumar
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2025
2025
A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model
A Kumar, K Sharma, TQ Bui
Mathematics and Mechanics of Solids, 10812865251337797 , 2025
2025
Bisection Method Based Technique for Analyzing Semipermeable Cracks in a Piezoelectric Material Using XFEM
R Rath, K Sharma
Iranian Journal of Science and Technology, Transactions of Mechanical … , 2025
2025
Citations: 1
Moving EMPS model for semipermeable two equal collinear interface cracks in dissimilar magneto-electro-elastic materials
A Kumar, K Sharma, TQ Bui
Mechanics of Advanced Materials and Structures 32 (5), 873-892 , 2025
2025
Citations: 8
Coupled analysis in magneto-electro-elastic material for moving semipermeable crack based on EMPS model using singular integral equation
A Kumar, K Sharma, H Nautiyal
Strength, Fracture and Complexity 18 (1), 48-61 , 2025
2025
Citations: 1
Singular integral based closed-form solutions for modified EMPS models in semipermeable magneto-electro-elastic materials
A Kumar, K Sharma, TQ Bui
Applied Mathematical Modelling 129, 673-695 , 2024
2024
Citations: 10
Singular integral method based closed form solution for moving EMPS model in semipermeable two‐equal‐collinear cracked MEE material
A Kumar, K Sharma, TQ Bui
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024
2024
Citations: 8
Simplified numerical algorithms for generalized strip saturated two equal collinear cracks in piezoelectric media using distributed dislocation technique
K Sharma, S Singh, TQ Bui
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023
2023
Citations: 6
Alternative Crack-Tip Enrichment Functions for X-FEM in Arbitrary Polarized Piezoelectric Media
R Rath, K Sharma
International Conference on Frontiers in Industrial and Applied, 263-275 , 2023
2023
Riemann–Hilbert approach-based analytical solutions for strip saturated two unequal collinear cracks in piezoelectric media
S Singh, K Sharma
Strength, Fracture and Complexity 13 (4), 177-195 , 2021
2021
Citations: 1
Closed-form solutions for modified polarization saturated models in two unequal collinear cracked piezoelectric media considering coalesced interior zones
S Singh, K Sharma, TQ Bui
European Journal of Mechanics-A/Solids 89, 104313 , 2021
2021
Citations: 14
Complex variable solution for mode-III quadratically varying PS model in piezoelectric media
S Singh, K Sharma
IOP conference series: materials science and engineering 1033 (1), 012044 , 2021
2021
Citations: 3
Numerical Studies for Generalized Modified Polarization Saturation (PS) Model in Piezoelectric Media
K Sharma, S Singh
Recent Advances in Computational Mechanics and Simulations: Volume-II: Nano … , 2020
2020
Citations: 1
Complex variable solution for mode-III linearly varying polarization saturation model in piezoelectric media
S Singh, K Sharma
AIP Conference Proceedings 2253 (1), 020016 , 2020
2020
Citations: 3
New analytical solutions for modified polarization saturation models in piezoelectric materials
S Singh, K Sharma, TQ Bui
Meccanica 54 (15), 2443-2459 , 2019
2019
Citations: 17
Analytical solution for two equal collinear modified strip saturated cracks in 2‐D semipermeable piezoelectric media
S Singh, K Sharma, RR Bhargava
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2019
2019
Citations: 16
Modified strip saturated models for two equal collinear cracks with coalesced zones in piezoelectric media
S Singh, K Sharma, RR Bhargava
Applied Mathematics and Mechanics 40 (8), 1097-1118 , 2019
2019
Citations: 15

MOST CITED SCHOLAR PUBLICATIONS

Analysis of a subinterface crack in piezoelectric bimaterials with the extended finite element method
K Sharma, TQ Bui, C Zhang, RR Bhargava
Engineering Fracture Mechanics 104, 114-139 , 2013
2013
Citations: 97
A study of finite size effects on cracked 2-D piezoelectric media using extended finite element method
RR Bhargava, K Sharma
Computational Materials Science 50 (6), 1834-1845 , 2011
2011
Citations: 55
Numerical studies of an array of equidistant semi-permeable inclined cracks in 2-D piezoelectric strip using distributed dislocation method
K Sharma, TQ Bui, RR Bhargava, T Yu, J Lei, S Hirose
International Journal of Solids and Structures 80, 137-145 , 2016
2016
Citations: 30
Application of X-FEM to study two-unequal-collinear cracks in 2-D finite magnetoelectoelastic specimen
RR Bhargava, K Sharma
Computational materials science 60, 75-98 , 2012
2012
Citations: 28
X-FEM simulation for two-unequal-collinear cracks in 2-D finite piezoelectric specimen
RR Bhargava, K Sharma
International Journal of Mechanics and Materials in Design 8 (2), 129-148 , 2012
2012
Citations: 26
New analytical solutions for modified polarization saturation models in piezoelectric materials
S Singh, K Sharma, TQ Bui
Meccanica 54 (15), 2443-2459 , 2019
2019
Citations: 17
Numerical simulation of crack propagation under fatigue loading in piezoelectric material using extended finite element method
S Bhattacharya, G Pamnani, S Sanyal, K Sharma
International Journal of Computational Materials Science and Engineering 4 … , 2015
2015
Citations: 17
Analytical solution for two equal collinear modified strip saturated cracks in 2‐D semipermeable piezoelectric media
S Singh, K Sharma, RR Bhargava
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2019
2019
Citations: 16
Numerical distributed dislocation modeling of multiple cracks in piezoelectric media considering different crack-face boundary conditions and finite size effects
K Sharma, TQ Bui, S Singh
Strength, Fracture and Complexity 10 (1), 49-72 , 2017
2017
Citations: 16
Modified strip saturated models for two equal collinear cracks with coalesced zones in piezoelectric media
S Singh, K Sharma, RR Bhargava
Applied Mathematics and Mechanics 40 (8), 1097-1118 , 2019
2019
Citations: 15
Closed-form solutions for modified polarization saturated models in two unequal collinear cracked piezoelectric media considering coalesced interior zones
S Singh, K Sharma, TQ Bui
European Journal of Mechanics-A/Solids 89, 104313 , 2021
2021
Citations: 14
Singular integral based closed-form solutions for modified EMPS models in semipermeable magneto-electro-elastic materials
A Kumar, K Sharma, TQ Bui
Applied Mathematical Modelling 129, 673-695 , 2024
2024
Citations: 10
Complex variable approach in studying modified polarization saturation model in two-dimensional semipermeable piezoelectric media
S Singh, K Sharma, RR Bhargava
Applied Mathematics and Mechanics 38 (11), 1517-1532 , 2017
2017
Citations: 10
Moving EMPS model for semipermeable two equal collinear interface cracks in dissimilar magneto-electro-elastic materials
A Kumar, K Sharma, TQ Bui
Mechanics of Advanced Materials and Structures 32 (5), 873-892 , 2025
2025
Citations: 8
Singular integral method based closed form solution for moving EMPS model in semipermeable two‐equal‐collinear cracked MEE material
A Kumar, K Sharma, TQ Bui
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024
2024
Citations: 8
Simplified numerical algorithms for generalized strip saturated two equal collinear cracks in piezoelectric media using distributed dislocation technique
K Sharma, S Singh, TQ Bui
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023
2023
Citations: 6
Numerical prediction of plastic zone length in straight edge cracked plate using XFEM
A Jha, V Kukshal, A Sharma, K Sharma
AIP Conference Proceedings 1975 (1), 030003 , 2018
2018
Citations: 5
Numerical Studies of Some Modified Polarization Saturation Models in 2-D Semipermeable Piezoelectric Media Using Distributed Dislocation Method
K Sharma, S Singh
International Conference on Advances in Computational Mechanics, 79-94 , 2017
2017
Citations: 5
Numerical solution of an edge cracked 2-D piezoelectric media using extended finite element method
RR Bhargava, K Sharma
Applied Mechanics and Materials 110, 91-98 , 2012
2012
Citations: 4
A novel analytical technique based on singular integral operators to study EMPS model with two unequal collinear cracks in magneto-electro-elastic solids
A Kumar, K Sharma, TQ Bui
Mechanics of Advanced Materials and Structures 33 (1), 2435026 , 2026
2026
Citations: 3

Kuldeep Sharma

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Scopus Publications

RECENT SCHOLAR PUBLICATIONS

MOST CITED SCHOLAR PUBLICATIONS