The DJOSER analytical thermal solver for multilayer mounting structures has been tested as a useful and friendly tool for the thermal analysis of power electronic devices and their packages, able to replace the onerous programs based on the finite element method (FEM) calculations. The other problem connected with the packaging evaluation is the calculation of the thermally induced stresses and strains in the various layers composing the assembling structures. This paper deals with the first step of the implementation of a thermomechanical solver to be connected with the DJOSER program, which is able to calculate the stresses at the layer interfaces, using the same strategy, i.e., a semianalytical mathematical approach, as well as the same structural models (stepped pyramidal structures and homogeneous layers). The basic theory is briefly exposed and the method is applied to some two-layer virtual structures. The obtained results are compared with those obtained using standard FEM analyses.

1.
Bagnoli
,
P. E.
,
Casarosa
,
C.
, and
Stefani
,
F.
, 2007, “
DJOSER: Analytical Thermal Simulator for Multilayer Electronic Structures. Theory and Numerical Implementation
,”
Proceedings of the Thermal Issues in Emerging Technologies Conference, ThETA 1
, Cairo, Egypt, Jan 3–6.
2.
Bagnoli
,
P. E.
,
Bartoli
,
C.
, and
Stefani
,
F.
, 2007, “
Validation of the DJOSER Analytical Thermal Simulator for Electronic Power Devices and Assembling Structures
,”
Microelectron. J.
0026-2692,
38
, pp.
185
196
.
3.
Montesi
,
M.
,
Bagnoli
,
P. E.
,
Casarosa
,
C.
, and
Pasquinelli
,
M.
, 2004, “
Steady-State Thermal Mapping of Electronic Devices With Multi-Layer Stack Mountings by Analytical Relationships
,”
ITSS II ASME–ZSIS Conference
, Bled, Slovenia, Jun. 13–16.
4.
Carrera
,
E.
, 2004, “
On the Use of the Murakami’s Zig-Zag Function in the Modelling of Layered Plates and Shells
,”
Comput. Struct.
0045-7949,
82
, pp.
541
554
.
5.
Gherlone
,
M.
, and
Di Sciuva
,
M.
, 2007, “
Thermo-Mechanics of Undamaged and Damaged Multilayered Composite Plates: Assessment of the FEM Sub-Laminates Approach
,”
Compos. Struct.
0263-8223,
81
, pp.
137
155
.
6.
Robaldo
,
A.
, 2006, “
Finite Element Analysis of the Influence of Temperature Profile on Thermo-Elasticity of Multilayered Plates
,”
Comput. Struct.
0045-7949,
84
, pp.
1236
1246
.
7.
Zhen
,
W.
, and
Wanji
,
C.
, 2007, “
A Quadrilateral Element Based on Refined Global-Local Higher-Order Theory for Coupling Bending and Extension Thermo-Elastic Multilayered Plates
,”
Int. J. Solids Struct.
0020-7683,
44
, pp.
3187
3217
.
8.
Grigolyuk
,
E. I.
, and
Tolkachev
,
V. M.
, 1980,
Contact Problems in the Theory of Plates and Shells
,
Mir
,
Moscow
.
9.
Grigolyuk
,
E. I.
,
Kogan
,
Y. A.
, and
Mamai
,
V. I.
, 1994, “
Problems of the Deformation of Thin-Walled Laminated Structures With Layer Separation
,”
Ross. Akad. Nauk MTT
,
2
, pp.
6
32
.
10.
Grigolyuk
,
E. I.
,
Kogan
,
Y. A.
, and
Mamai
,
V. I.
, 1995, “
A Model of the Deformation of a Non-Uniformly Heated Three-Layers Rod With Delaminations
,”
J. Appl. Math. Mech.
0021-8928,
59
(
3
), pp.
449
457
.
11.
Timoshenko
,
S. P.
, and
Woinowsky-Krieger
,
S.
, 1959,
Theory of Plates and Shells
, Int. Ed.,
McGraw-Hill
,
New York
, p.
580
.
12.
Timoshenko
,
S. P.
, and
Goodier
,
J. N.
, 1970,
Theory Elasticity
, Int. Ed.,
McGraw-Hill
,
New York
, p.
567
.
13.
Isaacson
,
E.
, and
Keller
,
H. B.
, 1966,
Analysis of Numerical Methods
,
Wiley
,
New York
.
14.
Degl’Innocenti
,
S.
,
Lucchesi
,
M.
,
Padovani
,
C.
,
Pagni
,
A.
,
Pasquinelli
,
G.
, and
Zani
,
N.
, 2007, “
The Finite Element Code NOSA Version 2.0—User Manual
,” Internal Note ISTI 2007-B4-006.
You do not currently have access to this content.