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<p>Mathematical model is developed to study the elastoplastic stress-strain state with the assessment of the strength of compound spatial bodies and shells of revolution which simulate the structural members of rocket and space technology under thermo-mechanical loading. Constitutive equations are used that take into account the dependence of material properties on temperature, type of the stress state, and deformation history. The equations include two nonlinear dependencies between invariants of the stress-strain state and angle of the type of the stress state. For convenience of constructing the algorithm, the stress-strain tensors components relation is presented in the generalized Hooke’s law with additional terms that are considered known from the previous approximation. The procedure of successive approximations is described. Numerical results are presented.</p>

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Mathematical Modeling of Thermoelastoplastic Deformation of Rocket and Space Technology Structural Members and Prediction of Their Serviceability

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • V. P. Poshyvalov,
  • M. O. Babeshko,
  • O. Z. Galishin,
  • V. G. Savchenko,
  • P. O. Steblyanko

摘要

Mathematical model is developed to study the elastoplastic stress-strain state with the assessment of the strength of compound spatial bodies and shells of revolution which simulate the structural members of rocket and space technology under thermo-mechanical loading. Constitutive equations are used that take into account the dependence of material properties on temperature, type of the stress state, and deformation history. The equations include two nonlinear dependencies between invariants of the stress-strain state and angle of the type of the stress state. For convenience of constructing the algorithm, the stress-strain tensors components relation is presented in the generalized Hooke’s law with additional terms that are considered known from the previous approximation. The procedure of successive approximations is described. Numerical results are presented.