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Stress due to electric charge density distribution in a dielectric slab

Journal Article · · Journal of Electrostatics
 [1];  [2];  [3]
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
  2. Howard Univ., Washington, DC (United States); NASA Goddard Space Flight Center (GSFC), Greenbelt, MD (United States)
  3. Howard Univ., Washington, DC (United States)
+ Show Author Affiliations
The spatial distribution of electric field due to an imposed electric charge density profile in an infinite slab of dielectric material is derived analytically by integrating Gauss’s law. Various charge density distributions are considered, including exponential and power-law forms. Here, the Maxwell stress tensor is used to compute a notional static stress in the material due to the charge density and its electric field. Characteristics of the electric field and stress distributions are computed for example cases in polyethylene, showing that field magnitudes exceeding the dielectric strength would be required in order to achieve a stress exceeding the ultimate tensile strength.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2474790
Report Number(s):
SAND--2024-14434J
Journal Information:
Journal of Electrostatics, Journal Name: Journal of Electrostatics Vol. 132; ISSN 0304-3886
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (12)

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A review of particle transport and separation by electrostatic traveling wave methods journal September 2022
The influence of Maxwell stresses on the fracture mechanics of piezoelectric materials journal January 2014
Validation of ablation model for polyethylene using pulsed x-ray and proton exposures journal December 2022
Electrostriction: material parameters and stress/strain constitutive relations journal March 2007
Investigation of the response of microstructures under the combined effect of mechanical shock and electrostatic forces journal October 2006
Piezoelectricity journal February 1972
Body versus surface forces in continuum mechanics: Is the Maxwell stress tensor a physically objective Cauchy stress? journal February 2002
Radiation response of a MEMS accelerometer: an electrostatic force journal December 1998
Electrostatic Forces and Stored Energy for Deformable Dielectric Materials journal August 2004
Study of Interspacecraft Coulomb Forces and Implications for Formation Flying journal May 2003

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Related Subjects

42 ENGINEERING
Dielectric
Maxwell stress