Strain-iocalimtion instabilities due to strain-softening which result from distributed damage such (IS cracking in heterogeneous brittle materials are analyzed. Attention is restricted to the stability problem of equilibrium states. This problem is not equivalent to bifurcation of the equilibrium path. which may occur before stability of Lquilibrium is lost. The continuum is local but is enhunc...

We use a model Hamiltonian to study critical phenomena in manganites. This includes long-range strain interactions, and coupling between the magnetic order parameter field. perform perturbative renormalization group (RG) analysis calculate static exponents, correct one-loop level. compare our RG results with many experiments on doped manganite systems. Our theory is excellent agreement experime...

Rare-earth titanates are Mott insulators whose magnetic ground state -- antiferromagnetic (AFM) or ferromagnetic (FM) can be tuned by the radius of rare-earth element. Here, we combine phenomenology and first-principles calculations to shed light on generic phase diagram a chemically substituted titanate site that interpolates between an AFM FM state. Octahedral rotations present in these perov...

Subject to compression, elastic materials may undergo bifurcation of various kinds. A homogeneous material forms creases, whereas a bilayer consisting of a stiff film and a compliant substrate forms wrinkles. Here, we show several new types of bifurcation behavior for bilayers consisting of films and substrates of comparable elastic moduli. Depending on the ratios of moduli and thicknesses of t...