Pruchnicki, Erick; Chen, Xiaoyi; Dai, Hui-Hui A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section. I: Theory. (English) Zbl 07601718 Math. Mech. Solids 27, No. 8, 1455-1479 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} et al., Math. Mech. Solids 27, No. 8, 1455--1479 (2022; Zbl 07601718) Full Text: DOI
Chen, Xiaoyi; Pruchnicki, Erick; Dai, Hui-Hui; Yu, Xiang A uniform framework for the dynamic behavior of linearized anisotropic elastic rods. (English) Zbl 07601717 Math. Mech. Solids 27, No. 8, 1429-1454 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 8, 1429--1454 (2022; Zbl 07601717) Full Text: DOI
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. (English) Zbl 07601670 Math. Mech. Solids 27, No. 4, 687-710 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 4, 687--710 (2022; Zbl 07601670) Full Text: DOI
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. (English) Zbl 07357399 Math. Mech. Solids 26, No. 2, 217-229 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 26, No. 2, 217--229 (2021; Zbl 07357399) Full Text: DOI
Pruchnicki, Erick; Dai, Hui-Hui New refined models for curved beams in both linear and nonlinear settings. (English) Zbl 07254354 Math. Mech. Solids 24, No. 7, 2295-2319 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} and \textit{H.-H. Dai}, Math. Mech. Solids 24, No. 7, 2295--2319 (2019; Zbl 07254354) Full Text: DOI
Pruchnicki, Erick Some specific aspects of linear homogenization shell theory. (English) Zbl 1448.74087 Math. Mech. Solids 24, No. 4, 1116-1128 (2019). MSC: 74Q05 74K25 74B05 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 4, 1116--1128 (2019; Zbl 1448.74087) Full Text: DOI
Pruchnicki, Erick On the homogenization of a nonlinear shell. (English) Zbl 1446.74195 Math. Mech. Solids 24, No. 4, 1054-1064 (2019). MSC: 74Q05 74K25 74B20 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 4, 1054--1064 (2019; Zbl 1446.74195) Full Text: DOI
Pruchnicki, E. An exact two-dimensional model for heterogeneous plates. (English) Zbl 1444.74036 Math. Mech. Solids 24, No. 3, 637-652 (2019). MSC: 74K20 74E05 74B05 74G10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 24, No. 3, 637--652 (2019; Zbl 1444.74036) Full Text: DOI
Pruchnicki, Erick; Dai, Hui-Hui New refined models for curved beams in both linear and nonlinear settings. (English) Zbl 1425.74265 Math. Mech. Solids 24, No. 7, 2295-2319 (2019). MSC: 74K10 74B20 74B15 PDFBibTeX XMLCite \textit{E. Pruchnicki} and \textit{H.-H. Dai}, Math. Mech. Solids 24, No. 7, 2295--2319 (2019; Zbl 1425.74265) Full Text: DOI
Pruchnicki, E. Homogenization of a second-order plate model. (English) Zbl 1425.74402 Math. Mech. Solids 23, No. 9, 1323-1332 (2018). MSC: 74Q10 74K20 74H10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 23, No. 9, 1323--1332 (2018; Zbl 1425.74402) Full Text: DOI
Pruchnicki, Erick Contribution to beam theory based on 3-D energy principle. (English) Zbl 1395.74054 Math. Mech. Solids 23, No. 5, 775-786 (2018). MSC: 74K10 74G65 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 23, No. 5, 775--786 (2018; Zbl 1395.74054) Full Text: DOI
Pruchnicki, Erick One-dimensional model of fourth-order for rods with loading on lateral boundary: the case of rectangular cross-section. (English) Zbl 1395.74053 Math. Mech. Solids 22, No. 12, 2269-2287 (2017). MSC: 74K10 74G10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 22, No. 12, 2269--2287 (2017; Zbl 1395.74053) Full Text: DOI
Pruchnicki, Erick One-dimensional models of fourth and sixth orders for rods derived from three-dimensional elasticity. (English) Zbl 1371.74249 Math. Mech. Solids 22, No. 2, 158-175 (2017). MSC: 74R10 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 22, No. 2, 158--175 (2017; Zbl 1371.74249) Full Text: DOI
Pruchnicki, Erick A fifth-order model for shells which combines bending, stretching and transverse shearing deduced from three-dimensional elasticity. (English) Zbl 1370.74104 Math. Mech. Solids 21, No. 7, 842-855 (2016). MSC: 74K25 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 21, No. 7, 842--855 (2016; Zbl 1370.74104) Full Text: DOI
Pruchnicki, Erick Two-dimensional model for the combined bending, stretching and shearing of shells: A general approach and application to laminated cylindrical shells derived from three-dimensional elasticity. (English) Zbl 1362.74023 Math. Mech. Solids 19, No. 5, 491-501 (2014). MSC: 74K25 74B05 74E30 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 19, No. 5, 491--501 (2014; Zbl 1362.74023) Full Text: DOI
Pruchnicki, Erick Two-dimensional model of order \(h^{5}\) for the combined bending, stretching, transverse shearing and transverse normal stress effect of homogeneous plates derived from three-dimensional elasticity. (English) Zbl 1358.74028 Math. Mech. Solids 19, No. 5, 477-490 (2014). MSC: 74K20 74B05 74G10 74G65 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 19, No. 5, 477--490 (2014; Zbl 1358.74028) Full Text: DOI
Pruchnicki, Erick One-dimensional model for the combined bending, stretching, shearing and torsion of rods derived from three-dimensional elasticity. (English) Zbl 07278869 Math. Mech. Solids 17, No. 4, 378-392 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 17, No. 4, 378--392 (2012; Zbl 07278869) Full Text: DOI
Pruchnicki, Erick Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity. (English) Zbl 1269.74145 Math. Mech. Solids 16, No. 3, 304-316 (2011). MSC: 74K20 74E30 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 16, No. 3, 304--316 (2011; Zbl 1269.74145) Full Text: DOI
Pruchnicki, E. Derivation of a hierarchy of nonlinear two-dimensional models for heterogeneous plates. (English) Zbl 1269.74144 Math. Mech. Solids 16, No. 1, 77-108 (2011). MSC: 74K20 74E05 PDFBibTeX XMLCite \textit{E. Pruchnicki}, Math. Mech. Solids 16, No. 1, 77--108 (2011; Zbl 1269.74144) Full Text: DOI