scholarly journals A boundary value problem of elastoplastic deformation process theory: Existence and uniqueness theorems

1994 ◽  
Vol 35 (4) ◽  
pp. 506-524
Author(s):  
Dao Huy Bich
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Deformation Process ◽  
Elastoplastic Deformation ◽  
Constitutive Relations ◽  
Boundary Value ◽  
Complex Loading ◽  
Process Theory ◽  
Uniqueness Theorems ◽  
Existence And Uniqueness Theorems

AbstractThis paper deals with the complete constitutive relations of elastoplastic deformation process theory, based on llyushin's postulate of isotropy and hypotheses of local determinancy and complanarity in plastic stage with complex loading. The formulation of the boundary value problem is given and existence and uniqueness theorems are considered.

On a Dirichlet–Neumann–Third mixed boundary value problem for the Helmholtz equation

1983 ◽  
Vol 94 (3-4) ◽  
pp. 221-233 ◽  
Author(s):  
M. David
Keyword(s):  
Boundary Value Problem ◽  
Helmholtz Equation ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Uniqueness Theorems ◽  
Equivalent System ◽  
Mixed Boundary Value Problem ◽  
Existence And Uniqueness Theorems

SynopsisExistence and uniqueness theorems are proved for the solution of a Dirichlet-Neumann-Third mixed boundary value problem for the Helmholtz equation in ℝ3. The proofs make use of an equivalent system of two integral equations of the second kind.

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