Tran-Duong Hien, PhD, DSc


Doctoral thesis
1981Nieliniowa dynamika ciał i powłok osiowosymetrycznych poddanych dowolnym obciążeniom 
supervisor -- Prof. Michał Kleiber, PhD, DSc, IPPT PAN
374 
Habilitation thesis
1991Deterministyczna i stochastyczna analiza wrażliwości w numerycznej mechanice konstrukcji 
Recent publications
1.Kleiber M., Hien Tran-D., Antúnez H.J., Kowalczyk P., Parameter sensitivity of elastoplastic response, Engineering Computations, ISSN: 0264-4401, DOI: 10.1108/02644409510799604, Vol.12, No.3, pp.263-280, 1995
Abstract:

The general problem of sizing, material and loading parameter sensitivity of non‐linear systems is presented. Both kinematic and path‐dependent material non‐linearities are considered; non‐linear sensitivity path is traced by an incremental solution strategy. The variational approach employed is quite general and can be employed for studying sensitivity of various path‐dependent highly non‐linear phenomena. Both the direct differentiation method (DDM) and adjoint system method (ASM) are discussed in the context of continuum and finite element mechanics. The merits of using the consistent tangent matrix and the necessity of accumulation of design derivatives of stresses and internal parameters are indicated. Aspects of sensitivity problems in metal forming are also discussed. A number of examples illustrate the paper.

Keywords:

Direct differentiation method, Adjoint system method, Metal forming

Affiliations:
Kleiber M.-IPPT PAN
Hien Tran-D.-IPPT PAN
Antúnez H.J.-IPPT PAN
Kowalczyk P.-IPPT PAN
2.Kleiber M., Hien Tran-D., Postek E., Incremental finite element sensitivity analysis for nonlinear applications, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.1620371906, Vol.37, pp.3291-3308, 1994
Abstract:

Finite element formulations for structural sensitivity analysis of non‐linear systems with fixed overall shape are discussed. Both the direct differentiation and adjoint variable methods are employed. The resulting sensitivity algorithms are consistent with time integration scheme adopted for solving equilibrium problem. Effectiveness and computational aspects of the procedures are discussed and compared. Numerical algorithms are shown to be readily implemented in existing finite element codes. Large‐scale examples illustrate the paper.

Keywords:

sensitivity analysis, nonlinear systems, incremental approach, finite element method

Affiliations:
Kleiber M.-IPPT PAN
Hien Tran-D.-IPPT PAN
Postek E.-IPPT PAN
3.Postek E., Hien Tran-D., On the applications of the sensitivity analysis to the design of spatial bar structures, ARCHIVES OF CIVIL ENGINEERING, ISSN: 1230-2945, Vol.38, No.1-2, pp.17-33, 1992
Abstract:

The paper deals with structural sensitivity analysis and its application in the engineering practice. The considerations are illustrated by numerical results concerning an industrial steel room as 3D structure.

Keywords:

sensitivity analysis, adjoint variable method, direct differentiation method, design codes, steel structures

Affiliations:
Postek E.-IPPT PAN
Hien Tran-D.-IPPT PAN
4.Hien Tran-D., Deterministic and Stochastic Sensitivity in Computational Structural Mechanics (Praca habilitacyjna), Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.46, pp.1-177, 1990
5.Hien Tran-D., Hung H.X., Kleiber M., Analiza stateczności konstrukcji w systemie POLSAP, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.34, pp.1-70, 1989
6.Hien Tran-D., Nieliniowa dynamika ciał i powłok osiowosymetrycznych poddanych dowolnym obciążeniom (Praca doktorska), Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.37, pp.1-88, 1981
7.Hien Tran-D., Kleiber M., Numeryczna analiza rozciągania sprężysto - plastycznego pasma osłabionego otworem, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.7, pp.1-14, 1980
8.Kleiber M., Hien Tran-D., DYNAX-L - dynamiczna analiza osiowosymetrycznych ciał i powłok sprężystych poddanych dowolnemu obciążeniu metodą elementów skończonych. Teoria oraz opis i instrukcja użytkowania programu, Prace IPPT - IFTR Reports, ISSN: 2299-3657, No.25, pp.1-71, 1980

Conference papers
1.Kleiber M., Hien Tran-D., Postek E., Structural Design Sensitivity Analysis by Incremental Procedures, CMM10, X Polish Conference Computer Methods in Mechanics, 1991-05-14/05-17, Swinoujscie (PL), pp.357-364, 1991
Abstract:

An incremental formulation based on the Taylor's expansion for nonlinear design sensitivity problems is developed. Computational aspects are discussed. A few numerical benchmark problems illustrate the paper.

Keywords:

design sensitivity, nonlinear geometry, incremental procedure

Affiliations:
Kleiber M.-IPPT PAN
Hien Tran-D.-IPPT PAN
Postek E.-IPPT PAN