A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity

DOI10.1007/BF00534623zbMath0332.73018MaRDI QIDQ4098725

Panagiotis D. Panagiotopoulos

Publication date: 1975

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Hamilton-Jacobi theories (49L99)

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Cites Work

• On uniqueness in the theory of plasticity
• A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity
• Stress-unilateral analysis of discretized cable and membrane structure in the presence of large displacements
• Convex Analysis
• Die Berechnung statisch unbestimmter Tragwerke mit einseitigen Bindungen
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item